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[()-16000.1(a)0(re)-14000.1(arbitrary)-15000(functions)-21000(After)-15999.9(inserting)-15000.1()]TJ -748.9999 59.9998 TD (in)Tj 40 0 TD [(to)-21000(the)-20000(third)-21000(equation)-20999.9(of)-21000()-20000(w)]TJ 757.9999 0 TD [(e)-20000.1(get)-21000(a)-20000(t)0.1(hird)-20999.9(order)-18999.9(p)-1000(o)0(lynomial)-21000(in)]TJ /T5 1 Tf 760 0 TD (u)Tj /T4 1 Tf 49 0 TD [(with)-21000.1(the)]TJ -1607 59.0002 TD [(co)-1000(ecien)]TJ 196 0 TD 18.0001 Tc [(to)18000.1(f)]TJ /T5 1 Tf 95 0 TD 0 Tc (u)Tj /T9 1 Tf 29 -18 TD ()Tj /T4 1 Tf 39 18 TD [(equal)-19000(to)]TJ /T5 1 Tf 195 0 TD (a)Tj /T4 1 Tf 26 0 TD ()Tj /T6 1 Tf 56 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T4 1 Tf 26.0001 0 TD [()-12999.9()-12000()]TJ /T5 1 Tf 151.9999 0 TD (a)Tj /T4 1 Tf 26.0001 0 TD [()-24999.9(F)]TJ 87 0 TD [(rom)-15000(this)-18000(w)]TJ 235.9999 0 TD [(e)-17000.1(deduce)-16999.9(that)-18000(the)-18000.1(function)]TJ /T5 1 Tf -1213 59.9999 TD (a)Tj /T4 1 Tf 26 0 TD ()Tj /T5 1 Tf 19 0 TD [(t)-8000(x)]TJ /T4 1 Tf 68 0 TD [()-17999.9(i)-0.1(s)-17000(constan)]TJ 253 0 TD [(t)-15000.1(and)-15999.9(it)-17000(can)-16000(tak)]TJ 340.0001 0 TD [(e)-17000(t)0(hree)-16000(v)]TJ 188.9999 0 TD (alues)Tj /T5 1 Tf 145.0001 0 TD (a)Tj /T4 1 Tf 40 0 TD 14 Tc [(\015)14000()]TJ /T5 1 Tf 107.9999 0 TD 0 Tc (a)Tj /T4 1 Tf 40.0001 0 TD 13 Tc [()13000()]TJ /T5 1 Tf 106.9999 0 TD 0 Tc (a)Tj /T4 1 Tf 41 0 TD ()Tj /T6 1 Tf 52.0001 0 TD ()Tj /T4 1 Tf 39 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj /T4 1 Tf 25 0 TD [()-21999.9(The)-16000(other)]TJ -1517 60 TD [(three)-16000(co)-1000(ecien)]TJ 323 0 TD [(ts)-18000(of)-16000(this)-17000(p)-1000.1(o)0(lynomial)-18000.1(imply)-17000.1(the)-15999.9(equations)]TJ /T5 1 Tf 126 129.9999 TD 0.0001 Tc (ab)Tj /T4 1 Tf 47 0 TD [()-11999.8()-10999.9()]TJ /T5 1 Tf 131 0 TD 0 Tc (a)Tj /T4 1 Tf 26 0 TD 14 Tc (\015)Tj /T5 1 Tf 111.0001 0 TD 0 Tc ()Tj /T4 1 Tf 120.9999 0 TD ()Tj /T5 1 Tf 44 0 TD (a)Tj /T4 1 Tf 38 0 TD [()-11000()]TJ /T5 1 Tf 113.0001 0 TD ()Tj /T4 1 Tf 44 0 TD ()Tj /T5 1 Tf 48.9999 0 TD (b)Tj /T7 1 Tf 20.9999 7 TD (x)Tj /T4 1 Tf 26.0001 -7 TD 14 Tc (\015)Tj /T5 1 Tf 111 0 TD 0 Tc ()Tj -852.9999 77.0001 TD (b)Tj /T7 1 Tf 20.9999 7 TD (t)Tj /T4 1 Tf 28.9999 -7 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 0.0001 Tc (bb)Tj /T7 1 Tf 42.0001 7 TD 0 Tc (x)Tj /T6 1 Tf 35.9999 -7 TD ()Tj /T5 1 Tf 50.0001 0 TD (b)Tj /T7 1 Tf 21 7 TD 0.0001 Tc (xx)Tj /T4 1 Tf 59 -7 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 0 Tc ()Tj /T7 1 Tf 32 7 TD (x)Tj /T6 1 Tf 36 -7 TD ()Tj /T4 1 Tf 50 0 TD 11 Tc [()11000()]TJ /T5 1 Tf 130 0 TD 0 Tc (a)Tj /T4 1 Tf 26 0 TD ()Tj /T5 1 Tf 19 0 TD (\012)Tj /T4 1 Tf 45 0 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T4 1 Tf 338.9999 0 TD ()Tj -1640.9998 116.9999 TD [(and)-16000(the)-17000(fourth)-16000(equation)-17000.1(of)-16999.9()-17000(yields)-18000(the)-15999.9(equations)]TJ /T5 1 Tf 361.0001 130.0001 TD (a)Tj /T4 1 Tf 25.9999 0 TD 11 Tc [()11000()]TJ /T5 1 Tf 130 0 TD 0 Tc (a)Tj /T4 1 Tf 26 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (b)Tj /T7 1 Tf 20.9999 6.9999 TD (x)Tj /T4 1 Tf 40.0001 -6.9999 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj 120.9999 0 TD (a)Tj /T4 1 Tf 26 0 TD ()Tj /T5 1 Tf 19 0 TD (b)Tj /T7 1 Tf 21 6.9999 TD (t)Tj /T4 1 Tf 30 -6.9999 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 0 Tc (bb)Tj /T7 1 Tf 41.9999 6.9999 TD (x)Tj /T6 1 Tf 37 -6.9999 TD ()Tj /T5 1 Tf 49.0001 0 TD (b)Tj /T7 1 Tf 20.9999 6.9999 TD 0.0001 Tc (xx)Tj /T4 1 Tf 48.0001 -6.9999 TD 0 Tc ()Tj /T6 1 Tf 31 0 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T7 1 Tf 31.9999 6.9999 TD (x)Tj /T4 1 Tf 38 -6.9999 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj -1087.9998 78 TD ()Tj /T7 1 Tf 32 6.9999 TD (t)Tj /T4 1 Tf 28 -6.9999 TD ()Tj /T5 1 Tf 50 0 TD (\012)Tj /T7 1 Tf 28 6.9999 TD (x)Tj /T6 1 Tf 35.9999 -6.9999 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T7 1 Tf 32 6.9999 TD (xx)Tj /T4 1 Tf 59 -6.9999 TD 10.0001 Tc ()Tj /T5 1 Tf 74.0001 0 TD -0.0001 Tc (b)Tj /T7 1 Tf 52.9999 6.9999 TD 0 Tc (x)Tj /T4 1 Tf 40 -6.9999 TD 13 Tc (\015)Tj /T5 1 Tf 77 0 TD 0 Tc ()Tj 122 0 TD (\012)Tj /T7 1 Tf 28 6.9999 TD (t)Tj /T6 1 Tf 28.9999 -6.9999 TD ()Tj /T5 1 Tf 50 0 TD (\012)Tj /T7 1 Tf 28 6.9999 TD 0.0001 Tc (xx)Tj /T4 1 Tf 58.0001 -6.9999 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 3 Tc (\012b)Tj /T7 1 Tf 52 6.9999 TD 0 Tc (x)Tj /T4 1 Tf 39 -6.9999 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T4 1 Tf 191.9999 0 TD ()Tj -1580.9998 116.9999 TD [(In)-16000(the)-17000(case)]TJ /T5 1 Tf 253 0 TD (a)Tj /T4 1 Tf 40.0001 0 TD [()-13999.9(\015)-17000(the)-16000(functions)]TJ /T5 1 Tf 394.9999 0 TD (b)Tj /T4 1 Tf 21.0001 0 TD ()Tj /T5 1 Tf 18.9999 0 TD 0.0001 Tc [(t)-7999.9(x)]TJ /T4 1 Tf 68.0001 0 TD 0 Tc ()Tj /T5 1 Tf 50.9999 0 TD ()Tj /T4 1 Tf 32 0 TD ()Tj /T5 1 Tf 19.0001 0 TD -0.0001 Tc [(t)-8000.1(x)]TJ /T4 1 Tf 67.9999 0 TD 0 Tc ()Tj /T5 1 Tf 51.0001 0 TD (\012)Tj /T4 1 Tf 31 0 TD ()Tj /T5 1 Tf 19 0 TD -0.0001 Tc [(t)-8000.2(x)]TJ /T4 1 Tf 67.9999 0 TD 0 Tc [()-18000(s)-0.1(atisfy)-17000.1(the)-17000(system)]TJ /T5 1 Tf -803.9999 130.0001 TD ()Tj /T7 1 Tf 32 6.9999 TD (x)Tj /T4 1 Tf 37.9999 -6.9999 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj 122.0001 0 TD ()Tj /T4 1 Tf 43 0 TD ()Tj /T5 1 Tf 49.9999 0 TD (b)Tj /T7 1 Tf 21.0001 6.9999 TD (x)Tj /T4 1 Tf 38.9999 -6.9999 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj 121 0 TD (b)Tj /T7 1 Tf 21 6.9999 TD (t)Tj /T4 1 Tf 28.9999 -6.9999 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 0.0001 Tc (bb)Tj /T7 1 Tf 42.0001 6.9999 TD 0 Tc (x)Tj /T6 1 Tf 36.9999 -6.9999 TD ()Tj /T5 1 Tf 50 0 TD (\012)Tj /T4 1 Tf 44.0001 0 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj -987.9999 74 TD ()Tj /T7 1 Tf 32 7 TD (t)Tj /T4 1 Tf 27.9999 -7 TD ()Tj /T5 1 Tf 50.0001 0 TD (\012)Tj /T7 1 Tf 27.9999 7 TD (x)Tj /T4 1 Tf 36 -7 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 0.0001 Tc (b)Tj /T7 1 Tf 53 7 TD 0 Tc (x)Tj /T4 1 Tf 40 -7 TD 13 Tc (\015)Tj /T5 1 Tf 77 0 TD 0 Tc ()Tj 122 0 TD (\012)Tj /T7 1 Tf 28 7 TD (t)Tj /T6 1 Tf 29 -7 TD ()Tj /T5 1 Tf 49 0 TD (\012)Tj /T7 1 Tf 27.9999 7 TD 0.0001 Tc (xx)Tj /T4 1 Tf 59 -7 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 3 Tc (\012b)Tj /T7 1 Tf 52.0001 7 TD 0 Tc (x)Tj /T4 1 Tf 39 -7 TD 13.9999 Tc (\015)Tj /T5 1 Tf 77.9999 0 TD 0 Tc ()Tj /T4 1 Tf -1378.9998 114.9999 TD (whic)Tj 98 0 TD [(h)-17000(can)-16000(easily)-18000(b)-1000.1(e)-17000(solv)]TJ 424 0 TD [(ed)-16999.9(and)-15000.1(pro)-1000(duces)-15999.9(the)-17000.1(v)]TJ 484.0001 0 TD [(ector)-16000.1(eld)]TJ /T2 1 Tf -901 114.9999 TD (v)Tj /T4 1 Tf 44.9999 0 TD 13.0001 Tc ()Tj /T5 1 Tf 71 0 TD 0.0001 Tc (At)Tj /T9 1 Tf 55 -20 TD 0 Tc ()Tj /T4 1 Tf 34 20 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 2.0001 Tc (Bt)Tj /T4 1 Tf 69 0 TD 0 Tc ()Tj /T5 1 Tf 50 0 TD (C)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 25.9999 7 TD (t)Tj /T4 1 Tf 29 -7 TD 11 Tc ()Tj /T5 1 Tf 69 0 TD 0 Tc (Atx)Tj /T4 1 Tf 95 0 TD ()Tj /T5 1 Tf 50 0 TD 2 Tc (Bx)Tj /T4 1 Tf 79 0 TD 0 Tc ()Tj /T5 1 Tf 50 0 TD 1 Tc (Dt)Tj /T4 1 Tf 60 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 25.9999 7 TD (x)Tj /T4 1 Tf 38 -7 TD 11 Tc ()Tj /T5 1 Tf 69 0 TD 0 Tc (Ax)Tj /T6 1 Tf 77 0 TD ()Tj /T5 1 Tf 50 0 TD 0.0001 Tc (Atu)Tj /T6 1 Tf 95.0001 0 TD 0 Tc ()Tj /T5 1 Tf 48.9999 0 TD 2.0001 Tc (Bu)Tj /T4 1 Tf 80.0001 0 TD 0 Tc ()Tj /T5 1 Tf 50 0 TD (D)Tj /T4 1 Tf 41.9999 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 26.0001 7 TD (u)Tj /T4 1 Tf -1661 108 TD (with)Tj /T5 1 Tf 108 0 TD (A)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 27 0 TD (B)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 26 0 TD (C)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 26 0 TD (D)Tj /T4 1 Tf 54 0 TD [(parameters)-17000(This)-12000(v)]TJ 408.9999 0 TD [(ector)-11000(eld)-11999.9(b)-1000.1(elongs)-11000(in)-12000(fact)-12000(to)-11999.9(the)-10999.9()0(v)]TJ 730 0 TD (edimensional)Tj -1497 60 TD [(Lie)-18000(algebra)-17000(o)0(f)-16000(the)-17000(classical)-19000.1(symmetries)-15000(of)-16000(Burgers)-16000.1(equation)-22999.9(I)-0.1(n)-15999.9(the)-17000.1(case)]TJ /T5 1 Tf 1589 0 TD (a)Tj /T4 1 Tf 41.0001 0 TD [()-12999.9()-17000.1(the)]TJ -1630 60 TD [(equations)-24000()-26000()-24000(yield)]TJ /T5 1 Tf 725.9999 0 TD (b)Tj /T4 1 Tf 47 0 TD 26 Tc [(\015)26000()]TJ /T5 1 Tf 129.0001 0 TD 0 Tc ()Tj /T4 1 Tf 57.9999 0 TD 26.0001 Tc [(\015)26000.1()]TJ /T5 1 Tf 129 0 TD 0 Tc (\012)Tj /T4 1 Tf 57.0001 0 TD [()-26000(\015)-23999.9(so)-23000(there)-23999.9(e)0(xists)-25000.1(only)-24000(the)]TJ -1146 59 TD [(nonclassical)-15000(v)]TJ 294 0 TD [(ector)-14000(eld)]TJ /T2 1 Tf 227 0 TD (v)Tj /T4 1 Tf 45 0 TD ()Tj /T5 1 Tf 53 0 TD ()Tj /T7 1 Tf 26 7.0001 TD (t)Tj /T4 1 Tf 22.9999 -7.0001 TD ()Tj /T5 1 Tf 45 0 TD (u)Tj /T7 1 Tf 55 7.0001 TD (x)Tj /T4 1 Tf 25 -7.0001 TD [()-14000(with)-15000(in)]TJ 179.0001 0 TD (v)Tj 22.9999 0 TD (arian)Tj 110 0 TD [(t)-15000(solutions)]TJ /T5 1 Tf 239 0 TD (u)Tj /T4 1 Tf 42 0 TD 14 Tc ()Tj /T5 1 Tf 72 0 TD 0 Tc (x)Tj /T6 1 Tf 34 0 TD ()Tj /T5 1 Tf 45.0001 0 TD (x)Tj /T9 1 Tf 27.9999 7.0001 TD ()Tj /T4 1 Tf 23 -7.0001 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T6 1 Tf 24 0 TD ()Tj /T5 1 Tf 45 0 TD (t)Tj /T9 1 Tf 18 7.0001 TD ()Tj /T4 1 Tf 21.9999 -7.0001 TD ()Tj -1699.9998 60.0001 TD (Let)Tj /T5 1 Tf 91 0 TD (a)Tj /T4 1 Tf 44 0 TD ()Tj /T6 1 Tf 57 0 TD ()Tj /T4 1 Tf 39 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj /T4 1 Tf 25 0 TD [()-18000(then)-18999.9(the)-19000(functions)]TJ /T5 1 Tf 478.0001 0 TD (b)Tj /T4 1 Tf 21 0 TD ()Tj /T5 1 Tf 19 0 TD [(t)-8000(x)]TJ /T4 1 Tf 68 0 TD ()Tj /T5 1 Tf 54 0 TD ()Tj /T4 1 Tf 31.9999 0 TD ()Tj /T5 1 Tf 19 0 TD 0.0001 Tc [(t)-7999.9(x)]TJ /T4 1 Tf 68.0001 0 TD -0.0001 Tc ()Tj /T5 1 Tf 53.9999 0 TD 0 Tc (\012)Tj /T4 1 Tf 31 0 TD ()Tj /T5 1 Tf 19 0 TD [(t)-8000(x)]TJ /T4 1 Tf 68 0 TD [()-20000.1(are)-18000(found)-17999.9(as)-19000.1(solutions)]TJ -1272 59.9999 TD [(of)-17000(the)-17000(system)]TJ /T5 1 Tf 0 115 TD (b)Tj /T7 1 Tf 21 7 TD (t)Tj /T4 1 Tf 28 -7 TD 10 Tc ()Tj /T5 1 Tf 74 0 TD 0 Tc (bb)Tj /T7 1 Tf 42 7 TD (x)Tj /T6 1 Tf 35 -7 TD ()Tj /T5 1 Tf 49 0 TD (b)Tj /T7 1 Tf 21 7 TD (xx)Tj /T4 1 Tf 58.0001 -7 TD 9.9999 Tc ()Tj /T5 1 Tf 73.9999 0 TD 0 Tc ()Tj /T7 1 Tf 32 7 TD (x)Tj /T4 1 Tf 39 -7 TD 12.9999 Tc (\015)Tj /T5 1 Tf 77 0 TD 0 Tc ()Tj 122 0 TD ()Tj /T7 1 Tf 32 7 TD (t)Tj /T4 1 Tf 26.9999 -7 TD ()Tj /T5 1 Tf 49 0 TD (\012)Tj /T7 1 Tf 28 7 TD (x)Tj /T6 1 Tf 35 -7 TD ()Tj /T5 1 Tf 49 0 TD ()Tj /T7 1 Tf 32 7 TD 0.0001 Tc (xx)Tj /T4 1 Tf 58 -7 TD 9 Tc ()Tj /T5 1 Tf 73 0 TD 0 Tc (b)Tj /T7 1 Tf 53 7 TD (x)Tj /T4 1 Tf 39.9999 -7 TD 13 Tc (\015)Tj /T5 1 Tf 77 0 TD 0 Tc ()Tj 122 0 TD (\012)Tj /T7 1 Tf 28 7 TD (t)Tj /T6 1 Tf 28 -7 TD ()Tj /T5 1 Tf 48.0001 0 TD (\012)Tj /T7 1 Tf 27.9999 7 TD 0.0001 Tc (xx)Tj /T4 1 Tf 58.0001 -7 TD 10 Tc ()Tj /T5 1 Tf 74 0 TD 0 Tc (b)Tj /T7 1 Tf 21 7 TD (x)Tj /T5 1 Tf 25 -7 TD (\012)Tj /T4 1 Tf 45 0 TD 13.9999 Tc (\015)Tj /T5 1 Tf 77.9999 0 TD 0 Tc ()Tj /T4 1 Tf -1779.9998 115 TD (whic)Tj 98 0 TD [(h)-17000(admits)-17000(solutions)]TJ /T5 1 Tf 419 0 TD ()Tj /T4 1 Tf 48.0001 0 TD 14.9999 Tc [(\015)14999.9()]TJ /T5 1 Tf 109.9999 0 TD 0 Tc (\012)Tj /T4 1 Tf 47 0 TD [()-14999.9(\015)0()-17000(and)]TJ /T5 1 Tf 208.0001 0 TD (b)Tj /T4 1 Tf 20.9999 0 TD ()Tj /T5 1 Tf 19 0 TD [(t)-8000(x)]TJ /T4 1 Tf 68 0 TD [()-20000.1(satisfying)-18000(Burgers)-17000(e)0(quation)]TJ /T5 1 Tf 666.0001 0 TD (b)Tj /T7 1 Tf 20.9999 7 TD (t)Tj /T4 1 Tf 29.9999 -7 TD ()Tj -1754.9998 59 TD ()Tj /T5 1 Tf 25 0 TD (bb)Tj /T7 1 Tf 42 7 TD (x)Tj /T6 1 Tf 27 -7 TD ()Tj /T5 1 Tf 40 0 TD (b)Tj /T7 1 Tf 21 7 TD -0.0001 Tc (xx)Tj /T4 1 Tf 62 -7 TD 0 Tc [()-14000(\015)0()-20000(This)-12000(allo)]TJ 296 0 TD [(ws)-12000.1(us)-11999.9(to)-12000(successiv)]TJ 375.9999 0 TD [(ely)-12000(generate)-12000(solutions)-11999.9(of)-12000.1(Burgers)-10000(e)0(quation)]TJ ET endstream endobj 32 0 obj << /ProcSet [/PDF /Text /ImageB ] /Font << /T1 4 0 R /T2 5 0 R /T4 7 0 R /T5 8 0 R /T6 9 0 R /T7 10 0 R /T9 17 0 R >> /XObject << /Im1 20 0 R >> /ExtGState << /GS1 12 0 R >> >> endobj 34 0 obj << /Length 12947 >> stream BT /T1 1 Tf 0.24 0 0 -0.24 72 736.7401 Tm 0 g /GS1 gs 0 Tc 0 Tw ()Tj 342 0 TD (CR)Tj 61.0001 0 TD [(C)-16999.9(H)0(ANDBOOK)-17999.9(O)-0.1(F)-18000(LIE)-18000(GR)]TJ 553 0 TD [(OUP)-18000(A)0(NAL)]TJ 230 0 TD [(YSIS)-16999.9(V)]TJ 154.9999 0 TD [(OL)-19000.1()]TJ /T4 1 Tf -1341 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/T5 1 Tf 50 0 TD ()Tj /T4 1 Tf 24 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 22 7 TD (u)Tj /T4 1 Tf 40 -7 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj 122 0 TD ()Tj /T7 1 Tf 21.9999 7 TD 0.0001 Tc (xx)Tj /T6 1 Tf 58.0001 -7 TD 0 Tc ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 44 0 TD ()Tj /T6 1 Tf 34.9999 0 TD ()Tj /T5 1 Tf 50 0 TD (u)Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 22.0001 7 TD (x)Tj /T4 1 Tf 25 -7 TD ()Tj -1301 75 TD ()Tj /T5 1 Tf 25 0 TD ()Tj /T7 1 Tf 52 7 TD (u)Tj /T6 1 Tf 36 -7 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T7 1 Tf 22 7 TD (t)Tj /T6 1 Tf 28.9999 -7 TD ()Tj /T4 1 Tf 49.0001 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj /T7 1 Tf 29.9999 7 TD 0.0001 Tc (xu)Tj /T4 1 Tf 60 -7 TD 0 Tc ()Tj /T5 1 Tf 50 0 TD ()Tj /T4 1 Tf 43 0 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj 121 0 TD ()Tj /T7 1 Tf 30 7 TD (xx)Tj /T4 1 Tf 59.0001 -7 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD -0.0001 Tc ()Tj /T7 1 Tf 51.9999 7 TD 0 Tc (x)Tj /T4 1 Tf 35 -7 TD ()Tj /T5 1 Tf 50 0 TD -0.0001 Tc (u)Tj /T7 1 Tf 59 7 TD 0 Tc (x)Tj /T4 1 Tf 34.9999 -7 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T7 1 Tf 30.0001 7 TD (t)Tj /T4 1 Tf 31 -7 TD 14 Tc (\015)Tj /T5 1 Tf 77.9999 0 TD 0 Tc ()Tj /T4 1 Tf -1516.9998 130.0001 TD (or)Tj /T5 1 Tf 416 69.9999 TD (u )Tj /T7 1 Tf 60.9999 7 TD (x)Tj /T6 1 Tf 36 -7 TD ()Tj /T5 1 Tf 50 0 TD ( )Tj /T7 1 Tf 32.0001 7 TD -0.0001 Tc (xx)Tj /T6 1 Tf 59 -7 TD 0 Tc ()Tj /T5 1 Tf 50 0 TD ( )Tj /T9 1 Tf 33.9999 -19.9999 TD ()Tj /T5 1 Tf 23 19.9999 TD ( )Tj /T7 1 Tf 32 7 TD (uu)Tj /T6 1 Tf 61 -7 TD ()Tj /T4 1 Tf 49 0 TD ()Tj /T5 1 Tf 25 0 TD 2 Tc ( )Tj /T7 1 Tf 66.0001 7 TD -0.0001 Tc (xu)Tj /T4 1 Tf 60.9999 -7 TD 0 Tc ()Tj /T5 1 Tf 50 0 TD ( )Tj /T7 1 Tf 32 7 TD (t)Tj /T4 1 Tf 28.9999 -7 TD ()Tj /T5 1 Tf 49.0001 0 TD ( )Tj /T9 1 Tf 34 -19.9999 TD ()Tj /T4 1 Tf 37 19.9999 TD 12.9999 Tc (\015)Tj /T5 1 Tf 76.9999 0 TD 0 Tc ()Tj /T4 1 Tf -1362.9998 106 TD (P)Tj 33 0 TD [(articular)-17000(solutions)-17000(o)0(f)-17000.1(t)0.1(he)-17000(rst)-16000(set)-16999.9(o)0(f)-17000.1(equations)-18000(generate)-15999.9(the)-17000.1(innitesimal)-18000(nonclas)]TJ -33 59 TD [(sical)-17999.9(symmetries)]TJ /T2 1 Tf 102 131 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 7 TD (t)Tj /T4 1 Tf 28.9999 -7 TD ()Tj /T5 1 Tf 50 0 TD (u)Tj /T7 1 Tf 55 7 TD (x)Tj /T5 1 Tf 25.0001 -7 TD ()Tj /T2 1 Tf -290 82.0001 TD (v)Tj /T9 1 Tf 30 6.9999 TD ()Tj /T4 1 Tf 36 -6.9999 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 6.9999 TD (t)Tj /T4 1 Tf 28.9999 -6.9999 TD ()Tj /T10 1 Tf 50 -40.0001 TD ()Tj /T6 1 Tf 34 40.0001 TD ()Tj /T9 1 Tf 55 -19 TD ()Tj ET q 4.8 0 0 -0.48 168.216 260.364 cm /Im1 Do Q BT 0.24 0 0 -0.24 168.24 252.9001 Tm ()Tj /T5 1 Tf 26 -17.9999 TD (u)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 25.9999 6.9999 TD ()Tj /T5 1 Tf 22 -6.9999 TD (t)Tj /T9 1 Tf 18 -20 TD ()Tj /T4 1 Tf 34.0001 20 TD ()Tj /T5 1 Tf 49.9999 0 TD (a)Tj /T9 1 Tf 26 6.9999 TD ()Tj /T5 1 Tf 22 -6.9999 TD (t)Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 50.0001 0 TD (a)Tj /T9 1 Tf 25.9999 6.9999 TD ()Tj /T10 1 Tf 23 -47 TD (
)Tj /T5 1 Tf 23.0001 40.0001 TD ()Tj /T7 1 Tf 25.9999 6.9999 TD (x)Tj /T4 1 Tf 36 -6.9999 TD ()Tj /T10 1 Tf 50 -40.0001 TD ()Tj /T6 1 Tf 34 40.0001 TD ()Tj /T9 1 Tf 56 -19 TD ()Tj ET q 4.8 0 0 -0.48 328.296 260.364 cm /Im1 Do Q BT 0.24 0 0 -0.24 328.32 252.9001 Tm ()Tj /T5 1 Tf 25.9999 -17.9999 TD (u)Tj /T9 1 Tf 29 -20 TD ()Tj /T4 1 Tf 32.0001 20 TD ()Tj /T9 1 Tf 56 -19 TD ()Tj ET q 4.8 0 0 -0.48 362.616 260.364 cm /Im1 Do Q BT 0.24 0 0 -0.24 362.64 252.9001 Tm ()Tj /T5 1 Tf 26 -17.9999 TD (u)Tj /T9 1 Tf 28.9999 -20 TD ()Tj /T4 1 Tf 22 20 TD ()Tj /T5 1 Tf 19.0001 0 TD (a)Tj /T9 1 Tf 26 6.9999 TD ()Tj /T5 1 Tf 23 -6.9999 TD (t)Tj /T9 1 Tf 18 -20 TD ()Tj /T4 1 Tf 33 20 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26 6.9999 TD ()Tj /T5 1 Tf 22.9999 -6.9999 TD (t)Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26.0001 6.9999 TD ()Tj /T4 1 Tf 22 -6.9999 TD ()Tj /T6 1 Tf 19 0 TD ()Tj /T4 1 Tf -1445 82.9999 TD ()Tj /T5 1 Tf 19 0 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T5 1 Tf 23.0001 -7 TD (t)Tj /T4 1 Tf 28.9999 0 TD ()Tj /T9 1 Tf 56 -19 TD ()Tj ET q 4.8 0 0 -0.48 158.376 240.444 cm /Im1 Do Q BT 0.24 0 0 -0.24 158.4 232.9801 Tm ()Tj /T5 1 Tf 26.0001 -18 TD (a)Tj /T9 1 Tf 25.9999 7 TD ()Tj /T4 1 Tf 22 -7 TD ()Tj /T5 1 Tf 19.0001 0 TD (xu)Tj /T4 1 Tf 68.9999 0 TD 11 Tc ()Tj /T5 1 Tf 69 0 TD 0 Tc (b)Tj /T9 1 Tf 20.9999 7 TD ()Tj /T5 1 Tf 23 -7 TD (t)Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 49 0 TD (b)Tj /T9 1 Tf 21 7 TD ()Tj /T4 1 Tf 23 -7 TD ()Tj /T5 1 Tf 19 0 TD (u)Tj /T4 1 Tf 40.0001 0 TD ()Tj /T9 1 Tf 55.9999 -19 TD ()Tj ET q 4.8 0 0 -0.48 281.256 240.444 cm /Im1 Do Q BT 0.24 0 0 -0.24 281.28 232.9801 Tm ()Tj /T5 1 Tf 26 -18 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T5 1 Tf 22 -7 TD (x)Tj /T9 1 Tf 28 -20 TD ()Tj /T6 1 Tf 34 20 TD ()Tj /T5 1 Tf 50 0 TD (b)Tj /T9 1 Tf 20.9999 7 TD ()Tj /T5 1 Tf 23.0001 -7 TD (x)Tj /T4 1 Tf 38.9999 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T5 1 Tf 23.0001 -7 TD (t)Tj /T4 1 Tf 28.9999 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26.0001 7 TD ()Tj /T10 1 Tf 21.9999 -47.0001 TD (
)Tj /T5 1 Tf 23.0001 40.0001 TD ()Tj /T7 1 Tf 25.9999 7 TD (u)Tj /T5 1 Tf 27.0001 -7 TD ()Tj /T2 1 Tf -1340.9999 114.9999 TD (v)Tj /T9 1 Tf 30 6.9999 TD ()Tj /T4 1 Tf 36 -6.9999 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 6.9999 TD (t)Tj /T6 1 Tf 28.9999 -6.9999 TD ()Tj /T9 1 Tf 56 -20.0001 TD ()Tj ET q 4.8 0 0 -0.48 148.296 213.0841 cm /Im1 Do Q BT 0.24 0 0 -0.24 148.32 205.6201 Tm ()Tj /T5 1 Tf 26 -16.9999 TD (u)Tj /T7 1 Tf 55 6.9999 TD (x)Tj /T6 1 Tf 36 -6.9999 TD ()Tj /T5 1 Tf 55 -34.0001 TD (u)Tj /T9 1 Tf 28.9999 -18 TD ()Tj ET q 12.24 0 0 -0.48 189.576 213.0841 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 192.72 201.5401 Tm ()Tj /T5 1 Tf 43.9999 -33.9999 TD ()Tj /T7 1 Tf 26.0001 6.9999 TD (u)Tj /T5 1 Tf 26.9999 -6.9999 TD ()Tj /T2 1 Tf -497.9999 96.9999 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 7 TD (t)Tj /T6 1 Tf 28.9999 -7 TD ()Tj /T9 1 Tf 56 -20 TD ()Tj ET q 4.8 0 0 -0.48 148.296 189.8041 cm /Im1 Do Q BT 0.24 0 0 -0.24 148.32 182.3401 Tm ()Tj /T5 1 Tf 26 -17.0001 TD (u)Tj /T7 1 Tf 55 7 TD (x)Tj /T6 1 Tf 36 -7 TD ()Tj /T10 1 Tf 49 -41 TD ()Tj /T9 1 Tf 28.9999 21 TD ()Tj ET q 4.8 0 0 -0.48 195.096 189.8041 cm /Im1 Do Q BT 0.24 0 0 -0.24 195.12 182.3401 Tm ()Tj /T5 1 Tf 26 -17.0001 TD (u)Tj /T9 1 Tf 29 -21 TD ()Tj /T6 1 Tf 33.0001 21 TD ()Tj /T9 1 Tf 56 -20 TD ()Tj ET q 4.8 0 0 -0.48 229.656 189.8041 cm /Im1 Do Q BT 0.24 0 0 -0.24 229.68 182.3401 Tm ()Tj /T5 1 Tf 25.9999 -17.0001 TD (a)Tj /T9 1 Tf 26.0001 -21 TD ()Tj 0 33 TD ()Tj /T5 1 Tf 21.9999 -12 TD (u)Tj /T10 1 Tf 29 -41 TD (
)Tj /T5 1 Tf 23 41 TD ()Tj /T7 1 Tf 26 7 TD (u)Tj /T5 1 Tf 26 -7 TD ()Tj /T2 1 Tf -732.9999 83 TD (v)Tj /T9 1 Tf 30 7 TD ( )Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 7 TD (t)Tj /T4 1 Tf 28.9999 -7 TD ()Tj /T10 1 Tf 50 -40.9999 TD ()Tj /T5 1 Tf 23 40.9999 TD (a)Tj /T9 1 Tf 26.0001 7 TD ()Tj /T6 1 Tf 32.9999 -7 TD ()Tj /T9 1 Tf 56.0001 -20 TD ()Tj ET q 4.8 0 0 -0.48 179.976 169.8841 cm /Im1 Do Q BT 0.24 0 0 -0.24 180 162.4201 Tm ()Tj /T5 1 Tf 25.9999 -17 TD (u)Tj /T10 1 Tf 28.9999 -40.9999 TD (
)Tj /T5 1 Tf 22 40.9999 TD ()Tj /T7 1 Tf 25.9999 7 TD (x)Tj /T4 1 Tf 37.0001 -7 TD ()Tj /T10 1 Tf 50 -40.9999 TD ()Tj /T6 1 Tf 34 40.9999 TD ()Tj /T9 1 Tf 55 -20 TD ()Tj ET q 4.8 0 0 -0.48 246.936 169.8841 cm /Im1 Do Q BT 0.24 0 0 -0.24 246.96 162.4201 Tm ()Tj /T5 1 Tf 26 -17 TD (u)Tj /T9 1 Tf 29 -21 TD ()Tj /T4 1 Tf 33 21 TD ()Tj /T9 1 Tf 56 -20 TD ()Tj ET q 4.8 0 0 -0.48 281.496 169.8841 cm /Im1 Do Q BT 0.24 0 0 -0.24 281.52 162.4201 Tm ()Tj /T5 1 Tf 26 -17 TD (a)Tj /T9 1 Tf 26.0001 7 TD ()Tj /T5 1 Tf 22 -7 TD (u)Tj /T9 1 Tf 28.9999 -21 TD ()Tj /T10 1 Tf 22 -19.9999 TD (
)Tj /T5 1 Tf 23 40.9999 TD ()Tj /T7 1 Tf 25.9999 7 TD (u)Tj /T5 1 Tf 27.0001 -7 TD ()Tj /T2 1 Tf -971.9999 114 TD (v)Tj /T9 1 Tf 30 7 TD (\012)Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 7 TD (t)Tj /T6 1 Tf 28.9999 -7 TD ()Tj /T10 1 Tf 50 -41 TD ()Tj /T9 1 Tf 29 21 TD ()Tj ET q 4.8 0 0 -0.48 153.816 142.5241 cm /Im1 Do Q BT 0.24 0 0 -0.24 153.84 135.0601 Tm ()Tj /T5 1 Tf 25 -16.9999 TD (u)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 50.0001 0 TD (x)Tj /T13 1 Tf 27.9999 -21 TD ()Tj /T9 1 Tf 31 0 TD ()Tj /T10 1 Tf 22.9999 -20 TD (
)Tj /T5 1 Tf 23 41 TD ()Tj /T7 1 Tf 26 7 TD (x)Tj /T6 1 Tf 36.0001 -7 TD ()Tj /T10 1 Tf 50 -41 TD ()Tj /T9 1 Tf 28.9999 21 TD ()Tj ET q 4.8 0 0 -0.48 240.456 142.5241 cm /Im1 Do Q BT 0.24 0 0 -0.24 240.48 135.0601 Tm ()Tj /T5 1 Tf 26 -16.9999 TD (u)Tj /T9 1 Tf 29 -21 TD ()Tj /T4 1 Tf 33 21 TD ()Tj /T5 1 Tf 57 -34 TD (u)Tj /T9 1 Tf 29 -17.9999 TD ()Tj ET q 12.96 0 0 -0.48 274.776 142.5241 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 274.8 130.9801 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj /T10 1 Tf 35 -75 TD (
)Tj /T5 1 Tf 23 41 TD ()Tj /T7 1 Tf 26 7 TD (u)Tj /T5 1 Tf 26 -7 TD ()Tj /T2 1 Tf -877.9999 97 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26.0001 7 TD (t)Tj /T4 1 Tf 28.9999 -7 TD ()Tj /T10 1 Tf 50 -40 TD ()Tj /T6 1 Tf 34 40 TD ()Tj /T9 1 Tf 55 -19.9999 TD ()Tj ET q 4.8 0 0 -0.48 168.216 119.2441 cm /Im1 Do Q BT 0.24 0 0 -0.24 168.24 111.7801 Tm ()Tj /T5 1 Tf 26 -16.9999 TD (u)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 50 0 TD (w)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 19 0 TD [(t)-8000(x)]TJ /T4 1 Tf 68 0 TD ()Tj /T10 1 Tf 18.9999 -40 TD (
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)]TJ /T5 1 Tf -203 119.0002 TD (u)Tj /T4 1 Tf 28.9999 0 TD ()Tj /T5 1 Tf 19 0 TD [(x)-8000(y)-2000()-8000(t)]TJ /T4 1 Tf 116 0 TD 15 Tc ()Tj /T5 1 Tf 87 0 TD 0 Tc (w)Tj /T4 1 Tf 37.0001 0 TD ()Tj /T5 1 Tf 19 0 TD 1.9999 Tc [(y)-6000.2(t)]TJ /T4 1 Tf 65.9999 0 TD 12 Tc ()Tj /T5 1 Tf 81 0 TD 0 Tc (x)Tj /T9 1 Tf 28 -20 TD ()Tj /T5 1 Tf 23 20 TD ( )Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 19 0 TD 2 Tc [(y)-6000(t)]TJ /T4 1 Tf 66.0001 0 TD 10.9999 Tc ()Tj /T5 1 Tf 79.9999 0 TD 0 Tc (x )Tj /T4 1 Tf 62 0 TD ()Tj /T5 1 Tf 19 0 TD 2.0001 Tc [(y)-5999.8(t)]TJ /T4 1 Tf 66 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf -1321 76 TD (where)Tj /T5 1 Tf 536.9999 91.9998 TD ( )Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 19 0 TD 2 Tc [(y)-6000(t)]TJ /T4 1 Tf 66.0001 0 TD 13.9999 Tc ()Tj /T6 1 Tf 85.9999 0 TD 0 Tc ()Tj /T5 1 Tf 39 0 TD 2 Tc (kW)Tj /T4 1 Tf 82 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD (y)Tj /T4 1 Tf 36 0 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T9 1 Tf 30 7.0002 TD ()Tj /T4 1 Tf 22 -7.0002 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD [()-8000(\015)]TJ /T5 1 Tf 66 0 TD 8 Tc (g)Tj /T4 1 Tf 48 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 38 0 TD ()Tj -1054.9999 112 TD ( )Tj /T4 1 Tf 34 0 TD ()Tj /T5 1 Tf 19 0 TD 2 Tc [(y)-6000(t)]TJ /T4 1 Tf 66 0 TD 15.0001 Tc ()Tj /T5 1 Tf 87.0001 0 TD 0 Tc (W)Tj /T4 1 Tf 53.9999 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (y)Tj /T4 1 Tf 36.9999 0 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T9 1 Tf 30 7.0002 TD ()Tj /T4 1 Tf 22 -7.0002 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 17.9999 0 TD [()-8000.1(\015)]TJ /T5 1 Tf 66.0001 0 TD 7.9999 Tc (g)Tj /T4 1 Tf 47.9999 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T10 1 Tf 38 -69.9998 TD ()Tj /T5 1 Tf 38 69.9998 TD (A)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD 12 Tc ()Tj /T5 1 Tf 81 0 TD 0 Tc (B)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18.0001 0 TD ()Tj /T10 1 Tf 26.9999 -66.9998 TD (Z)Tj /T7 1 Tf 51 12 TD (y)Tj /T5 1 Tf 183 22 TD 8 Tc (dz)Tj ET q 83.76 0 0 -0.48 364.056 615.324 cm /Im1 Do Q BT 0.24 0 0 -0.24 364.08 604.02 Tm 0 Tc (W)Tj /T9 1 Tf 54.0001 -14 TD ()Tj /T4 1 Tf 22 14 TD ()Tj /T5 1 Tf 19 0 TD (z)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T9 1 Tf 29.9999 7 TD ()Tj /T4 1 Tf 22.0001 -7 TD 7.9999 Tc (\015)Tj /T5 1 Tf 46.9999 0 TD 8.0001 Tc (g)Tj /T4 1 Tf 48.0001 0 TD 0 Tc ()Tj /T10 1 Tf 25 -104 TD ()Tj /T6 1 Tf -1081 206 TD ()Tj /T4 1 Tf 75.9999 -34.0002 TD (#)Tj /T5 1 Tf -7 0 TD (g)Tj ET q 18.24 0 0 -0.48 200.376 582.924 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 200.4 571.3801 Tm ()Tj /T5 1 Tf 50 0 TD (g)Tj /T4 1 Tf 42 -33.9998 TD ()Tj /T5 1 Tf 50 0 TD (y)Tj /T10 1 Tf 26 -40 TD ()Tj /T4 1 Tf 35 27 TD (#)Tj /T5 1 Tf -12 13 TD ()Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 33 -7 TD 18 Tc (#)Tj /T5 1 Tf 50 0 TD 0 Tc (g)Tj 31 -34.0002 TD (y)Tj /T4 1 Tf 37 0 TD 11 Tc ()Tj /T5 1 Tf 75 0 TD 0 Tc ()Tj /T9 1 Tf 30 7.0002 TD ()Tj ET q 39.6 0 0 -0.48 280.776 582.924 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 294.48 571.3801 Tm ()Tj /T5 1 Tf 25 0 TD (g)Tj /T10 1 Tf 88 -73.9998 TD (
)Tj /T5 1 Tf 22.9999 40 TD (W)Tj /T4 1 Tf 54 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (y)Tj /T4 1 Tf 36.9999 0 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T9 1 Tf 30.0001 7 TD ()Tj /T4 1 Tf 21.9999 -7 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18.0001 0 TD [()-7999.9(\015)]TJ /T5 1 Tf 65.9999 0 TD 8 Tc (g)Tj /T4 1 Tf 48.0001 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 17.9999 0 TD 0.0001 Tc ()Tj -1462.9998 102.9998 TD 0 Tc (with)Tj /T5 1 Tf 115 0 TD ()Tj /T9 1 Tf 30 7.0002 TD ()Tj /T4 1 Tf 22 -7.0002 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 53 0 TD (g)Tj /T4 1 Tf 26.0001 0 TD ()Tj /T5 1 Tf 18.9999 0 TD (t)Tj /T4 1 Tf 18 0 TD 0.0001 Tc ()Tj /T5 1 Tf 52 0 TD 0 Tc (A)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (t)Tj /T4 1 Tf 17.9999 0 TD 0.0001 Tc ()Tj /T5 1 Tf 53 0 TD 0 Tc (B)Tj /T4 1 Tf 39.9999 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (t)Tj /T4 1 Tf 18 0 TD [()-18999.9(arbitrary)-18000(functions)]TJ /T5 1 Tf 483.0001 0 TD (W)Tj /T4 1 Tf 53.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (z)Tj /T4 1 Tf 25 0 TD 8 Tc (\015)Tj /T5 1 Tf 47 0 TD (h)Tj /T4 1 Tf 51.0001 0 TD 0 Tc [()-19000(the)-19000(W)]TJ 173 0 TD [(eierstrass)-17999.9(elliptic)]TJ -1428 60.0002 TD (function)Tj /T2 1 Tf 228 100.9998 TD [(

)-27000.1(K)]TJ 218 0 TD (OLMOGOR)Tj 302.9999 0 TD (O)Tj 41.0001 0 TD (VPETR)Tj 219.9999 0 TD (O)Tj 41 0 TD [(VSKI)-1999.9(I)-0.1(PISKUNO)]TJ 453.0001 0 TD -0.0001 Tc (V)Tj -1128 60.0002 TD 0 Tc [(OR)-19000.1(FITZHUGHNA)]TJ 521.9999 0 TD [(GUMO)-20000(EQUA)]TJ 369.0001 0 TD -0.0001 Tc (TION)Tj /T5 1 Tf -848.0001 148.9999 TD 0 Tc (u)Tj /T7 1 Tf 29 7 TD (t)Tj /T4 1 Tf 31 -7 TD ()Tj /T5 1 Tf 53 0 TD (u)Tj /T7 1 Tf 28.9999 7 TD (xx)Tj /T4 1 Tf 58 -7 TD ()Tj /T5 1 Tf 50 0 TD (u)Tj /T4 1 Tf 29.0001 0 TD -0.0001 Tc ()Tj /T6 1 Tf 54.9999 0 TD 0 Tc ()Tj /T5 1 Tf 49 0 TD (u)Tj /T4 1 Tf 29 0 TD 0.0001 Tc ()Tj /T5 1 Tf 38.0001 0 TD 0 Tc (u)Tj /T6 1 Tf 39.9999 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T4 1 Tf 26 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T6 1 Tf 122 0 TD ()Tj /T4 1 Tf 39 0 TD ()Tj /T12 1 Tf 39 0 TD ()Tj /T5 1 Tf 53 0 TD (a)Tj /T12 1 Tf 40 0 TD ()Tj /T4 1 Tf 52 0 TD ()Tj /T2 1 Tf -1288.9999 76 TD 0.0001 Tc [(Lie)-19999.9(p)-1999.8(oin)]TJ 203 0 TD 0 Tc [(t)-20000(s)-0.1(ymmetries
)]TJ /T5 1 Tf 394.9999 77 TD (X)Tj /T9 1 Tf 41 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 53 0 TD ()Tj /T7 1 Tf 26 7 TD (t)Tj /T5 1 Tf 18 -7 TD ()Tj 122 0 TD (X)Tj /T9 1 Tf 41 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 53 0 TD ()Tj /T7 1 Tf 25.9999 7 TD (x)Tj /T2 1 Tf -1049.9998 69.9999 TD [(Nonclassical)-21000(conditional)-20999.9(s)0(ymmetries
)]TJ /T4 1 Tf 0 60.0001 TD [(Nucci)-18000(and)-15999.9(Clarkson)-15999.9( )-16000(V)]TJ 656 0 TD [(orobev)-15999.9()-0.1(  )]TJ /T2 1 Tf -693 100 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26 7 TD (t)Tj /T6 1 Tf 29 -7 TD (\012)Tj /T4 1 Tf 77 -33 TD ()Tj ET q 16.08 0 0 -0.48 129.336 375.5641 cm /Im1 Do Q BT /T6 1 Tf 0.24 0 0 -0.24 129.36 372.6601 Tm (p)Tj ET q 6 0 0 -0.48 139.416 373.1641 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 139.44 362.8201 Tm ()Tj 30.0001 -39.9999 TD -0.0001 Tc ()Tj /T5 1 Tf 43.9999 0 TD 0 Tc (u)Tj /T6 1 Tf 40 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T6 1 Tf 37 0 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 44 0 TD ()Tj /T7 1 Tf 25.9999 7 TD (x)Tj /T4 1 Tf 37 -7 TD ()Tj 56.0001 -33 TD ()Tj ET q 6 0 0 -0.48 238.776 375.5641 cm /Im1 Do Q BT 0.24 0 0 -0.24 238.8 364.0201 Tm ()Tj /T5 1 Tf 30.9999 -35 TD (u)Tj /T4 1 Tf 29 0 TD ()Tj /T6 1 Tf 55 0 TD ()Tj /T5 1 Tf 50 0 TD (u)Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 38 0 TD (u)Tj /T6 1 Tf 39 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T4 1 Tf 26 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 26 7 TD (u)Tj /T5 1 Tf 27 -7 TD ()Tj /T2 1 Tf -1091 145.9999 TD (v)Tj /T9 1 Tf 30 7.0001 TD ()Tj /T4 1 Tf 36 -7.0001 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26 7.0001 TD (t)Tj /T4 1 Tf 29 -7.0001 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T4 1 Tf 31.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 26 7.0001 TD (x)Tj /T6 1 Tf 38 -7.0001 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T13 1 Tf 31.9999 -20.9999 TD (
)Tj /T4 1 Tf 14.0001 20.9999 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T5 1 Tf 19 0 TD -0.0001 Tc (u)Tj /T7 1 Tf 54.9999 7.0001 TD 0 Tc (u)Tj /T5 1 Tf 27 -7.0001 TD ()Tj 122 0 TD (a)Tj /T4 1 Tf 40 0 TD ()Tj /T6 1 Tf 52 0 TD ()Tj /T4 1 Tf 39 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj 122 0 TD ()Tj /T4 1 Tf 32 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD 15 Tc ()Tj 113 -33.9999 TD 0 Tc ()Tj ET q 16.08 0 0 -0.48 362.616 340.7641 cm /Im1 Do Q BT /T6 1 Tf 0.24 0 0 -0.24 362.64 337.86 Tm (p)Tj ET q 6 0 0 -0.48 372.456 338.3641 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 372.48 328.0201 Tm ()Tj 37 -73 TD [()-10999.9()-11000(exp)]TJ /T6 1 Tf 170 -41.0001 TD (p)Tj ET q 6 0 0 -0.48 432.216 355.8841 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 432.24 345.54 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj ET q 63.84 0 0 -0.48 381.336 340.7641 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 381.36 328.0201 Tm ()Tj /T6 1 Tf 35.9999 0 TD ()Tj /T4 1 Tf 50 0 TD (exp)Tj /T6 1 Tf 84.0001 -41 TD (p)Tj ET q 6 0 0 -0.48 432.216 338.3641 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 432.24 328.0201 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj 33.9999 -39.0001 TD ()Tj /T2 1 Tf -1536.9998 148.0001 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26 7 TD (t)Tj /T4 1 Tf 29 -7 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T4 1 Tf 31.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 26 7 TD (x)Tj /T6 1 Tf 38 -7 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T13 1 Tf 31.9999 -21 TD (
)Tj /T4 1 Tf 14.0001 21 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T5 1 Tf 38 0 TD (u)Tj /T6 1 Tf 41 0 TD ()Tj /T4 1 Tf 49.9999 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj /T4 1 Tf 25 0 TD ()Tj /T5 1 Tf 44 0 TD ()Tj /T7 1 Tf 26 7 TD (u)Tj /T5 1 Tf 26 -7 TD ()Tj 122 0 TD (a)Tj /T4 1 Tf 40 0 TD 14 Tc ()Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T4 1 Tf 25 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj 121 0 TD ()Tj /T4 1 Tf 32.0001 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 27.9998 0 TD 15.0002 Tc ()Tj 114 -34 TD 0 Tc ()Tj ET q 16.08 0 0 -0.48 407.016 305.244 cm /Im1 Do Q BT /T6 1 Tf 0.24 0 0 -0.24 407.04 302.3401 Tm (p)Tj ET q 6 0 0 -0.48 416.856 302.8441 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 416.88 292.2601 Tm ()Tj 37 -73.9999 TD 11 Tc [(e)10999.9(x)11000(p)]TJ /T5 1 Tf 171 0 TD -0.0001 Tc (x)Tj /T6 1 Tf 52.9999 -41 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 489.336 320.3641 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 489.36 310.0201 Tm ()Tj ET q 69.6 0 0 -0.48 425.736 305.244 cm /Im1 Do Q BT 0.24 0 0 -0.24 425.76 292.2601 Tm ()Tj /T6 1 Tf 35.9999 0 TD ()Tj /T4 1 Tf 50 0 TD 0.0001 Tc (exp)Tj /T5 1 Tf 85.0001 0 TD -0.0001 Tc (x)Tj /T6 1 Tf 52.9999 -42 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 489.336 302.8441 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 489.36 292.2601 Tm ()Tj /T2 1 Tf -1716 111 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf 39 0 TD ()Tj /T7 1 Tf 26 7 TD (t)Tj /T4 1 Tf 29 -7 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T4 1 Tf 31.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T7 1 Tf 26 7 TD (x)Tj /T6 1 Tf 38 -7 TD ()Tj /T5 1 Tf 50 0 TD ()Tj /T13 1 Tf 31.9999 -20.9999 TD (
)Tj /T4 1 Tf 14.0001 20.9999 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T5 1 Tf 38 0 TD (u)Tj /T6 1 Tf 41 0 TD ()Tj /T4 1 Tf 49.9999 0 TD ()Tj /T5 1 Tf 44 0 TD ()Tj /T7 1 Tf 26 7 TD (u)Tj /T5 1 Tf 26 -7 TD ()Tj 122 0 TD (a)Tj /T4 1 Tf 40 0 TD 14 Tc ()Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj 122 0 TD ()Tj /T4 1 Tf 32 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD 15 Tc ()Tj 112.9999 -34 TD 0 Tc ()Tj ET q 16.08 0 0 -0.48 383.016 269.0041 cm /Im1 Do Q BT /T6 1 Tf 0.24 0 0 -0.24 383.04 266.1 Tm (p)Tj ET q 6 0 0 -0.48 393.096 266.6041 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 393.12 256.0201 Tm ()Tj 37 -74.0001 TD 11.0001 Tc [()1000.2(e)11000(x)11000.1(p)]TJ /T6 1 Tf 170.0001 -41 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 452.616 284.1241 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 452.64 273.7801 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj ET q 63.84 0 0 -0.48 401.976 269.0041 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 402 256.0201 Tm ()Tj /T6 1 Tf 36.0001 0 TD ()Tj /T4 1 Tf 48.9999 0 TD 0.0001 Tc (exp)Tj /T6 1 Tf 85.0001 -42 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 452.616 266.6041 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 452.64 256.0201 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj /T2 1 Tf -1550.9999 65.9999 TD [(Exact)-19000.1(solutions)-20000.1(in)]TJ 447 0 TD (v)Tj 27.0001 0 TD (arian)Tj 125 0 TD [(t)-20999.9(under)-18000(the)-20000(n)0(onclassical)-20000(symmetries
)]TJ -659.0001 76.9999 TD (v)Tj /T9 1 Tf 30 6.9999 TD ()Tj /T4 1 Tf 36 -6.9999 TD ()Tj /T5 1 Tf -66 118.9999 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 384 -34 TD (ac)Tj /T9 1 Tf 47.9999 7.0001 TD ()Tj /T4 1 Tf 30.0001 -7.0001 TD -0.0001 Tc [(exp)-9000.1()-0.1()]TJ /T6 1 Tf 122.9999 -41 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 232.536 211.6441 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 232.56 201.3001 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj /T4 1 Tf 39 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26 -18 TD ()Tj /T5 1 Tf 23 18 TD (t)Tj /T4 1 Tf 18.0001 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD [()-10999.9()]TJ /T5 1 Tf 104.9999 0 TD (c)Tj /T9 1 Tf 22 7.0001 TD ()Tj /T4 1 Tf 29.9999 -7.0001 TD 0.0001 Tc [(exp)-8999.9()0.1()]TJ /T6 1 Tf 123.0001 -41 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 363.816 211.6441 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 363.84 201.3001 Tm ()Tj /T5 1 Tf 25 0 TD (ax)Tj /T4 1 Tf 66.0001 0 TD ()Tj /T5 1 Tf 50 0 TD (t)Tj /T4 1 Tf 17.9999 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD ()Tj ET q 404.88 0 0 -0.48 96.216 196.2841 cm /Im1 Do Q BT /T5 1 Tf 0.24 0 0 -0.24 96.24 183.5401 Tm (c)Tj /T9 1 Tf 22 7 TD ()Tj /T4 1 Tf 30 -7 TD [(exp)-9000()]TJ /T6 1 Tf 123 -41.9999 TD (p)Tj ET q 6 0 0 -0.48 148.296 194.1241 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 148.32 183.5401 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj /T4 1 Tf 39 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26 -15 TD ()Tj /T5 1 Tf 23 15 TD (t)Tj /T4 1 Tf 17.9999 0 TD ()Tj /T5 1 Tf 19.0001 0 TD ()Tj /T4 1 Tf 25 0 TD [()-11000()]TJ /T5 1 Tf 105 0 TD (c)Tj /T9 1 Tf 22 7 TD ()Tj /T4 1 Tf 29.9999 -7 TD [(exp)-9000()]TJ /T6 1 Tf 123 -41.9999 TD (p)Tj ET q 6 0 0 -0.48 279.576 194.1241 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 279.6 183.5401 Tm ()Tj /T5 1 Tf 25 0 TD (ax)Tj /T4 1 Tf 66 0 TD ()Tj /T5 1 Tf 50 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD [()-11000()]TJ /T5 1 Tf 105 0 TD (c)Tj /T9 1 Tf 22 7 TD ()Tj /T4 1 Tf 29.9999 -7 TD [(exp)-9000()]TJ /T6 1 Tf 123 -41.9999 TD (p)Tj ET q 6 0 0 -0.48 405.576 194.1241 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 405.6 183.5401 Tm ()Tj /T5 1 Tf 44 0 TD (a)Tj /T4 1 Tf 37.9999 0 TD 10.0001 Tc [()10000.1()]TJ /T5 1 Tf 93.0001 0 TD 0 Tc (x)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 50 0 TD -0.0001 Tc (at)Tj /T4 1 Tf 44 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD -0.0002 Tc ()Tj /T5 1 Tf 51.0001 -40 TD 0 Tc ()Tj /T2 1 Tf -1794 107 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T5 1 Tf 23 -7 TD ()Tj /T2 1 Tf 22 0 TD (v)Tj /T9 1 Tf 30.0001 7 TD ()Tj /T4 1 Tf 36 -7 TD ()Tj /T5 1 Tf -141 87 TD (u)Tj /T4 1 Tf 42 0 TD 14 Tc ()Tj /T5 1 Tf 72 0 TD 0 Tc (c)Tj /T9 1 Tf 22.0001 7.0001 TD ()Tj /T4 1 Tf 31 -7.0001 TD 0.0001 Tc [(exp)-7999.9()0.1()]TJ /T6 1 Tf 122.0001 -42.9999 TD 0 Tc (p)Tj ET q 6 0 0 -0.48 151.416 157.4041 cm /Im1 Do Q BT /T4 1 Tf 0.24 0 0 -0.24 151.44 146.5801 Tm ()Tj /T5 1 Tf 25 0 TD (x)Tj /T4 1 Tf 40 0 TD 10 Tc ()Tj /T5 1 Tf 74 0 TD 0 Tc (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD ()Tj /T6 1 Tf 56 0 TD ()Tj /T5 1 Tf 50 0 TD (c)Tj /T9 1 Tf 21.9999 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[(are)-24000(arbitrary)-23000(parameters)]TJ /T5 1 Tf 590.9999 0 TD (w)Tj /T4 1 Tf 37.0001 0 TD ()Tj /T5 1 Tf 18.9999 0 TD (t)Tj /T4 1 Tf 18.0001 0 TD [()-25000(and)]TJ /T5 1 Tf 147.9999 0 TD (f)Tj /T4 1 Tf 29.0001 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD [()-26000(s)0.1(atisfy)-24999.9(the)-24000.1(ODE)]TJ 460 0 TD (!)Tj /T5 1 Tf -10 0 TD (w)Tj /T4 1 Tf 63 0 TD ()Tj /T5 1 Tf 64.9999 0 TD (w)Tj /T9 1 Tf 37.0001 -18 TD ()Tj /T4 1 Tf 21.9998 18 TD ()Tj -1767.9999 50.9999 TD (!)Tj /T5 1 Tf -11 13 TD (f)Tj /T4 1 Tf 44 0 TD ()Tj /T5 1 Tf 52 0 TD 1 Tc (wf)Tj /T4 1 Tf 66 0 TD 0 Tc ()Tj /T2 1 Tf -102 91 TD [(Exact)-19000.1(solutions)-20000.1(in)]TJ 447 0 TD (v)Tj 27.0001 0 TD (arian)Tj 125 0 TD [(t)-20999.9(under)-18000(the)-20000(n)0(onclassical)-20000(symmetries
)]TJ -627 121 TD (v)Tj /T9 1 Tf 30 7.0001 TD ()Tj /T4 1 Tf 37 -7.0001 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD ()Tj /T4 1 Tf 30 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD 12 Tc ()Tj /T5 1 Tf 80 0 TD 0 Tc (a)Tj /T9 1 Tf 25.9999 7.0001 TD ()Tj /T5 1 Tf 23.0001 -7.0001 TD (x)Tj /T4 1 Tf 156.9999 -12.9999 TD (!)Tj /T5 1 Tf -7 12.9999 TD ()Tj /T4 1 Tf 44 0 TD 13 Tc (\015)Tj /T5 1 Tf 77 0 TD 0 Tc ()Tj /T2 1 Tf -741.9999 87 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 37 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD ()Tj /T4 1 Tf 30 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD 12 Tc ()Tj /T5 1 Tf 80 0 TD 0 Tc (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19 0 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T5 1 Tf 22.9999 -7 TD (x)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 25.9999 7 TD ()Tj /T4 1 Tf 22.0001 -7 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 129 -13.9999 TD (!)Tj /T5 1 Tf -6 13.9999 TD ()Tj /T4 1 Tf 43 0 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T2 1 Tf -908.9999 86.0001 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 37 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD ()Tj /T4 1 Tf 30 0 TD ()Tj /T5 1 Tf 19 0 TD (z)Tj /T4 1 Tf 25 0 TD 12 Tc [()999.9()]TJ /T5 1 Tf 106.0001 0 TD 0 Tc (a)Tj /T9 1 Tf 25.9999 7 TD ()Tj /T5 1 Tf 22 -7 TD (x)Tj 151 0 TD (z)Tj /T4 1 Tf 39 0 TD ()Tj /T5 1 Tf 52 0 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T5 1 Tf 23 -7 TD (t)Tj /T9 1 Tf 18.0001 -21 TD ()Tj /T5 1 Tf 22 21 TD ()Tj /T4 1 Tf 25 0 TD 10.9999 Tc ()Tj /T5 1 Tf 85.9999 0 TD 0 Tc (a)Tj /T9 1 Tf 26 7 TD ( )Tj /T5 1 Tf 22.9999 -7 TD (t)Tj /T6 1 Tf 29.0001 0 TD ()Tj /T5 1 Tf 50 0 TD (x)Tj /T4 1 Tf 150 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T6 1 Tf 41 0 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 25 0 TD (a)Tj /T9 1 Tf 25.9999 7 TD ()Tj /T5 1 Tf 22 -7 TD (z)Tj /T6 1 Tf 37 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26.0001 -21 TD ()Tj 0 32.9999 TD ( )Tj /T4 1 Tf 21.9999 -11.9999 TD ()Tj 26.0001 -13.0001 TD (!)Tj /T5 1 Tf -7.0001 13.0001 TD ()Tj /T4 1 Tf 44.0001 0 TD ()Tj /T5 1 Tf 53 0 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T4 1 Tf 33.9999 -20.0001 TD (#)Tj /T5 1 Tf -12 13.0001 TD ()Tj /T2 1 Tf -1704.9998 85.9999 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 37 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD (w)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (x)Tj /T9 1 Tf 28 -19.9999 TD ()Tj /T5 1 Tf 23.9999 19.9999 TD ()Tj /T4 1 Tf 25 0 TD 10.0001 Tc ()Tj /T5 1 Tf 85.0001 0 TD 0 Tc (f)Tj /T4 1 Tf 28.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18.0001 0 TD ()Tj /T5 1 Tf 18.9999 0 TD (x)Tj /T4 1 Tf 41 0 TD ()Tj /T5 1 Tf 50.0001 0 TD ()Tj /T4 1 Tf 30 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 128.9999 -12.9999 TD (!)Tj /T5 1 Tf -7 12.9999 TD ()Tj /T4 1 Tf 44 0 TD ()Tj /T5 1 Tf 52 0 TD 1 Tc [(w)1000()]TJ /T2 1 Tf -1009.9999 86.0001 TD 0 Tc (v)Tj /T9 1 Tf 30 7 TD ( )Tj /T4 1 Tf 37 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD 0.0001 Tc (t)Tj /T4 1 Tf 48 0 TD 0 Tc ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD ()Tj /T6 1 Tf 31 0 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 19 0 TD (a)Tj /T9 1 Tf 25.9999 7 TD ()Tj /T5 1 Tf 23.0001 -7 TD (x)Tj /T4 1 Tf 38.9999 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26 7 TD ()Tj /T4 1 Tf 23 -7 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 129 -13 TD (!)Tj /T5 1 Tf -7 13 TD ()Tj /T4 1 Tf 44 0 TD 13 Tc (\015)Tj /T5 1 Tf 77 0 TD 0 Tc ()Tj /T2 1 Tf -918.9999 86.9999 TD (v)Tj /T9 1 Tf 30 7.0001 TD (\012)Tj /T4 1 Tf 37 -7.0001 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD (t)Tj /T13 1 Tf 18.0001 -20.9999 TD ()Tj /T9 1 Tf 30.9999 0 TD ()Tj /T5 1 Tf 23 20.9999 TD ()Tj /T4 1 Tf 30 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (x)Tj /T4 1 Tf 28 0 TD 10.9999 Tc ()Tj /T5 1 Tf 79.9999 0 TD 0 Tc (t)Tj /T9 1 Tf 18 -20.9999 TD ()Tj /T4 1 Tf 22.9999 20.9999 TD ()Tj /T5 1 Tf 19 0 TD (a)Tj /T9 1 Tf 26 7.0001 TD ()Tj /T5 1 Tf 23.0001 -7.0001 TD (x)Tj /T4 1 Tf 38.9999 0 TD ()Tj /T5 1 Tf 50 0 TD (a)Tj /T9 1 Tf 26 7.0001 TD ()Tj /T4 1 Tf 43 -7.0001 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD ()Tj /T5 1 Tf 25 0 TD ()Tj /T4 1 Tf 128.0001 -12.9999 TD (!)Tj /T5 1 Tf -6 12.9999 TD ()Tj /T4 1 Tf 42.9999 0 TD 14 Tc ()Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T2 1 Tf -1082.9999 86.0001 TD (v)Tj /T9 1 Tf 30 6.9999 TD ()Tj /T4 1 Tf 37 -6.9999 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD (x)Tj /T4 1 Tf 58 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T6 1 Tf 31 0 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 19 0 TD (b)Tj /T9 1 Tf 21 6.9999 TD ()Tj /T5 1 Tf 22.9999 -6.9999 TD (t)Tj /T4 1 Tf 29 0 TD ()Tj /T5 1 Tf 50 0 TD (b)Tj /T9 1 Tf 21 6.9999 TD ()Tj /T4 1 Tf 23 -6.9999 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 128.0001 -13 TD (!)Tj /T5 1 Tf -6.0001 13 TD ()Tj /T4 1 Tf 43 0 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T2 1 Tf -898.9999 85.9999 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 37 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD (w)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (x)Tj /T9 1 Tf 28 -19.9999 TD ()Tj /T5 1 Tf 23.9999 19.9999 TD ()Tj /T4 1 Tf 25 0 TD 10.0001 Tc ()Tj /T5 1 Tf 85.0001 0 TD 0 Tc ()Tj /T4 1 Tf 29.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 40 0 TD ()Tj /T5 1 Tf 50.0001 0 TD (f)Tj /T4 1 Tf 28.9999 0 TD ()Tj /T5 1 Tf 19.0001 0 TD (t)Tj /T4 1 Tf 17.9999 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 130 -13 TD (!)Tj /T5 1 Tf -7 13 TD ()Tj /T4 1 Tf 44 0 TD ()Tj /T5 1 Tf 52 0 TD (w)Tj /T4 1 Tf 37 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T2 1 Tf -1102.9999 87 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 37 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD 14 Tc ()Tj /T5 1 Tf 72 0 TD 0 Tc (t)Tj /T6 1 Tf 29 0 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 44 0 TD ()Tj /T4 1 Tf 30 0 TD ()Tj /T5 1 Tf 38 0 TD (t)Tj /T4 1 Tf 30 0 TD 11 Tc [()11000()]TJ /T5 1 Tf 94 0 TD 0 Tc (x)Tj /T4 1 Tf 53 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T6 1 Tf 30.0001 0 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 63 0 TD ()Tj /T4 1 Tf 128.9999 -14 TD (!)Tj /T5 1 Tf -7 14 TD ()Tj /T4 1 Tf 44.0001 0 TD 12.9999 Tc (\015)Tj /T5 1 Tf 76.9999 0 TD 0 Tc ()Tj /T2 1 Tf -1087 86 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 57 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD (t)Tj /T9 1 Tf 18.0001 -21 TD ()Tj /T5 1 Tf 22 21 TD ()Tj /T4 1 Tf 29.9999 0 TD ()Tj /T5 1 Tf 19 0 TD (x)Tj /T4 1 Tf 28 0 TD 12 Tc [()1000()]TJ /T5 1 Tf 106 0 TD 0 Tc (x)Tj /T9 1 Tf 27.9999 -21 TD ()Tj /T5 1 Tf 23 21 TD (t)Tj /T13 1 Tf 18 -21 TD ()Tj /T9 1 Tf 31 0 TD ()Tj /T6 1 Tf 33 21 TD ()Tj /T4 1 Tf 50 0 TD ()Tj /T5 1 Tf 19 0 TD (b)Tj /T9 1 Tf 21 7 TD ()Tj /T5 1 Tf 23 -7 TD (x)Tj /T4 1 Tf 40.0001 0 TD ()Tj /T5 1 Tf 50 0 TD (b)Tj /T9 1 Tf 20.9999 7 TD ()Tj /T4 1 Tf 22 -7 TD ()Tj /T5 1 Tf 19 0 TD ()Tj /T4 1 Tf 25 0 TD ()Tj /T5 1 Tf 25 0 TD (t)Tj /T9 1 Tf 18 -21 TD ()Tj /T5 1 Tf 23.0001 21 TD ()Tj /T4 1 Tf 127.9998 -13 TD (!)Tj /T5 1 Tf -6 13 TD ()Tj /T4 1 Tf 43.0001 0 TD 14 Tc (\015)Tj /T5 1 Tf 78 0 TD 0 Tc ()Tj /T2 1 Tf -1250 86 TD (v)Tj /T9 1 Tf 30 7 TD ()Tj /T4 1 Tf 57 -7 TD ()Tj /T5 1 Tf 113 0 TD (u)Tj /T4 1 Tf 42 0 TD ()Tj /T5 1 Tf 53 0 TD (x)Tj /T4 1 Tf 58 0 TD ()Tj /T5 1 Tf 19 0 TD (t)Tj /T4 1 Tf 18 0 TD 12 Tc [()1000()]TJ /T5 1 Tf 106 0 TD 0 Tc (x)Tj /T9 1 Tf 27.9999 -19.9999 TD ()Tj /T5 1 Tf 23 19.9999 TD (t)Tj /T9 1 Tf 43 -19.9999 TD ()Tj /T6 1 Tf 33 19.9999 TD ()Tj /T5 1 Tf 50.0001 0 TD (b)Tj /T9 1 Tf 20.9999 7 TD ( )Tj /T5 1 Tf 22.0001 -7 TD (t)Tj /T9 1 Tf 18 -19.9999 TD ()Tj /T6 1 Tf 34 19.9999 TD ()Tj /T5 1 Tf 50 0 TD (b)Tj /T9 1 Tf 21 7 TD (\012)Tj /T5 1 Tf 22 -7 TD (t)Tj /T13 1 Tf 18.0001 -19.9999 TD ()Tj /T9 1 Tf 31 0 TD ()Tj /T5 1 Tf 22.9999 19.9999 TD ()Tj 122 0 TD (t)Tj /T9 1 Tf 17.9999 -19.9999 TD ()Tj /T4 1 Tf 28 6.9999 TD (!)Tj /T5 1 Tf -6 13 TD ()Tj /T4 1 Tf 43.0001 0 TD 14 Tc [()14000()]TJ /T5 1 Tf 103 0 TD 0 Tc ()Tj /T2 1 Tf -1241 86 TD (v)Tj /T9 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