Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities

DOI10.1016/j.cnsns.2012.11.019zbMath1277.35102OpenAlexW2073698476MaRDI QIDQ375605

Matthew Russo, S. Roy Choudhury, Robert A. van Gorder

Publication date: 31 October 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1007570412005424

zbMATH Keywords

Klein-Gordon equationexact solutionsPainlevé analysisauto-Bäcklund transformationsLandau-Ginzburg-Higgs equationRayleigh wave equationtruncated Laurent expansions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Second-order nonlinear hyperbolic equations (35L70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07)

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