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Sumaira Sharif

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Papers by Sumaira Sharif

Research paper thumbnail of Analytic solutions and conserved quantities of wave equation on torus

Computers & Mathematics with Applications, 2012

Research paper thumbnail of Conserved quantities for the non-linear Klein–Gordon equation

Afrika Matematika, 2013

ABSTRACT

Research paper thumbnail of Conserved quantities for the (1 + n) −dimensional Klein-Gordon equation

Archives des sciences sociales des religions

Research paper thumbnail of Conserved quantities for (1+ 2)-dimensional non-linear wave equation on curved surfaces

… in Nonlinear Science and Numerical Simulation, 2012

In this paper, relationship between background metric and Noether operators is developed for diff... more In this paper, relationship between background metric and Noether operators is developed for different surfaces. For this the ð1 þ 2Þ-dimensional non-linear wave equation on curved surfaces is considered. The Noether approach is applied on the discussed equation and determining equations for the Noether operators are computed in terms of coefficients of the first fundamental form (FFF). Further these determining equations are utilized to compute the Noether operators and conserved vectors of the considered equation on particular surfaces i.e. sphere ðS 2 Þ, torus ðT 2 Þ, flat space ðR 2 Þ and cone ðC 2 Þ. In derivation of conservation laws, two cases of the function f ðuÞ are observed. For both cases the conserved vectors of the discussed equation on S 2 , T 2 ; R 2 and C 2 are established. It is noted that on all discussed surfaces Lie point generators coincide with the corresponding Noether operators while the maximal solvable algebra of symmetries is obtained for f ðuÞ ¼ 0.

Research paper thumbnail of Conserved quantities and group classification of wave equation on hyperbolic space

… in Nonlinear Science and Numerical Simulation, 2012

ABSTRACT

Research paper thumbnail of Analytic solutions and conserved quantities of wave equation on torus

Computers & Mathematics with Applications, 2012

Research paper thumbnail of Conserved quantities for the non-linear Klein–Gordon equation

Afrika Matematika, 2013

ABSTRACT

Research paper thumbnail of Conserved quantities for the (1 + n) −dimensional Klein-Gordon equation

Archives des sciences sociales des religions

Research paper thumbnail of Conserved quantities for (1+ 2)-dimensional non-linear wave equation on curved surfaces

… in Nonlinear Science and Numerical Simulation, 2012

In this paper, relationship between background metric and Noether operators is developed for diff... more In this paper, relationship between background metric and Noether operators is developed for different surfaces. For this the ð1 þ 2Þ-dimensional non-linear wave equation on curved surfaces is considered. The Noether approach is applied on the discussed equation and determining equations for the Noether operators are computed in terms of coefficients of the first fundamental form (FFF). Further these determining equations are utilized to compute the Noether operators and conserved vectors of the considered equation on particular surfaces i.e. sphere ðS 2 Þ, torus ðT 2 Þ, flat space ðR 2 Þ and cone ðC 2 Þ. In derivation of conservation laws, two cases of the function f ðuÞ are observed. For both cases the conserved vectors of the discussed equation on S 2 , T 2 ; R 2 and C 2 are established. It is noted that on all discussed surfaces Lie point generators coincide with the corresponding Noether operators while the maximal solvable algebra of symmetries is obtained for f ðuÞ ¼ 0.

Research paper thumbnail of Conserved quantities and group classification of wave equation on hyperbolic space

… in Nonlinear Science and Numerical Simulation, 2012

ABSTRACT

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