Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations

DOI10.1016/j.camwa.2008.03.020zbMath1155.35444OpenAlexW2059280949MaRDI QIDQ1004847

Zhenya Yan, Deng-Shan Wang, Hong-Bo Li

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.03.020

zbMATH Keywords

double sinh-Gordon equationsoliton solutionsine-cosine-Gordon equationseparation transformationseparation transformation approach

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Solutions to PDEs in closed form (35C05)

Related Items (9)

Single soliton solutions of the coupled nonlinear Klein-Gordon equations with power law nonlinearity ⋮ Novel soliton-like and multi-solitary wave solutions of \((3+1)\)-dimensional Burgers equation ⋮ Factorization technique and new exact solutions for the modified Camassa-Holm and Degasperis-Procesi equations ⋮ \(F\)-expansion method and its application for finding new exact solutions to the sine-Gordon and sinh-Gordon equations ⋮ \((n + 1)\)-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 ⋮ Exact and explicit solutions to nonlinear evolution equations using the division theorem ⋮ Bifurcations of travelling wave solutions in the \((N + 1)\)-dimensional sine-cosine-Gordon equations

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