Mathematical Physics - EqWorld (original) (raw)

	EqWorld The World of Mathematical Equations

| Main Page Exact Solutions Algebraic Equations Ordinary DEs Systems of ODEs First-Order PDEs Linear PDEs Nonlinear PDEs Systems of PDEs Nonlinear Delay PDEs Integral Equations Functional Equations Equation Index Equation Archive Basic Handbooks Interesting Papers Methods Ordinary DEs Partial DEs Delay PDEs Integral Equations Functional Equations Auxiliary Sections Integrals Special Functions Integral Transforms Math Forums EqWorld Forum Other Forums Software Maple Mathematica MATLAB Others Education Ordinary DEs Partial DEs Integral Equations Functional Equations Common errors Mathematicians Math Sites for Students EqLibrary Mathematics Physics About This Site Features Editorial Board Search Engine Tests Contacts For Authors Add Equation/Solution Write/Publish Book Information Mathematical Sites Mathematical Books Errata in Handbooks Online Shops Publishers Journals Conferences Ask a Math Expert Pastime Math Humor and Jokes Math Puzzles & Games | | Exact Solutions Methods Software For Authors Math Forums Methods > Partial Differential Equations of Mathematical Physics Partial Differential Equations of Mathematical Physics Polyanin, A. D. and Zhurov, A. I.,The von Mises transformation: order reduction and construction of Bäcklund transformations and new integrable equations,EqWorld—The World of Mathematical Equations, 3 July 2009.Polyanin, A. D. and Zhurov, A. I., The Crocco transformation: order reduction and construction of Bäcklund transformations and new integrable equations, arXiv:0907.3170v1 [nlin.SI], 21 July 2009. Polyanin, A. D., Schiesser, W. E., and Zhurov, A. I., Partial differential equations (2008), Scholarpedia, 3(10):4605. First-Order Partial Differential Equations Second-Order Partial Differential Equations Higher-Order Partial Differential Equations Numerical Methods Hamdi, S., Schiesser, W. E., and Griffiths, G. W.,Method of lines, (2007), Scholarpedia, 2(7):2859. Conte, R.,Exact solutions of nonlinear partial differential equations by singularity analysis, CIME School, Cetraro, 5–12 September 1999. Kalnins, E. G. and Miller, W.,Variable separation in mathematical physics: From intuitive concept to mathematical tool, 2004. Kosovtsov, Yu. N.,The decomposition method and Maple procedure for finding first integrals of nonlinear PDEs of any order with any number of independent variables, arXiv:0704.0072v1 [math-ph], 2007. Nucci, M. C.,Nonclassical symmetries as special solutions of heir-equations, arXiv:nlin.SI/0011008v2, 31 Aug 2003. Olver, P. J., and Vorob'ev, E. M., Nonclassical and conditional symmetries, In: CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 3, N. H. Ibragimov, ed., CRC Press, Boca Raton, 1996, pp. 291–328. Polyanin, A. D., Lectures on solution methods for nonlinear partial differential equations of mathematical physics, 2004: Method of Generalized Separation of Variables Method of Functional Separation of Variables Differential Constraints Method Svirshchevskii, S. R., Invariant Linear Spaces and Exact Solutions of Nonlinear Evolution Equations, J. Nonlinear Math. Physics, 1996, Vol. 3, No. 1-2, pp. 164-169. Teodorovich, E. V., The renormalization-group method in problems of mathematical physics, J. Appl. Maths Mechs, 2004, Vol. 68, No. 2, pp. 299-326. Tychynin, V., Petrova, O., and Tertyshnyk, O.,Nonlocal symmetries and genaration of solutions for partial differential equations, arXiv:math-ph/0702033v1, 9 Feb 2007. | | | | 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The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.