Travelling wave solutions for a class of generalized KdV equation

DOI10.1016/j.amc.2009.09.019zbMath1179.65134OpenAlexW2042631248MaRDI QIDQ1044452

Jianxian Zheng, Shengqiang Tang, Wen-tao Huang

Publication date: 18 December 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.019

zbMATH Keywords

generalized Korteweg-de Vries equationcompactonssine-cosine methodextended tanh methodsolitary patterns solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

All exact traveling wave solutions of the combined KdV-mKdV equation ⋮ Explicit kink-like and compacton-like wave solutions for a generalized KdV equation ⋮ Exact explicit traveling wave solution for the generalized \((2+1)\)-dimensional Boussinesq equation ⋮ All traveling wave exact solutions of the variant Boussinesq equations ⋮ Kink-like wave and compacton-like wave solutions for generalized KdV equation ⋮ The general solutions of an auxiliary ordinary differential equation using complex method and its applications ⋮ All meromorphic solutions of some algebraic differential equations and their applications ⋮ All meromorphic solutions of an ordinary differential equation and its applications ⋮ The general traveling wave solutions of the Fisher type equations and some related problems

Cites Work

• A direct method for solving sine-Gordon type equations
• A sine-cosine method for handling nonlinear wave equations
• A reliable treatment of the physical structure for the nonlinear equation \(K(m,n)\)
• A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
• The tanh method for traveling wave solutions of nonlinear equations
• Bifurcations of travelling wave solutions in a class of generalized KdV equation
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• Solitary wave solutions of nonlinear wave equations
• The tanh method: II. Perturbation technique for conservative systems
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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