A CLASS OF SPECIAL EXACT SOLUTIONS OF SOME HIGH DIMENSIONAL NON-LINEAR WAVE EQUATIONS

DOI10.1142/S0217979210056621zbMath1209.35074OpenAlexW2069947052MaRDI QIDQ3070399

Deng-Shan Wang

Publication date: 3 February 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979210056621

zbMATH Keywords

solitary wave solutionZhiber-Shabat equationToda lattice equationseparation transformationnon-linear wave equationscomplex non-linear Klein-Gordon equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Wave equation (35L05) Soliton equations (35Q51) Second-order hyperbolic equations (35L10)

Related Items (3)

\((n + 1)\)-dimensional reduced differential transform method for solving partial differential equations ⋮ Separation transformation and a class of exact solutions to the higher-dimensional Klein-Gordon-Zakharov equation ⋮ \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations

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