Exact travelling wave solutions of the dissipative coupled Korteweg-de Vries equation

DOI10.1016/j.amc.2009.12.042zbMath1185.35235OpenAlexW2036920371MaRDI QIDQ961615

Qiang Liu, Wei-Guo Zhang

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.042

zbMATH Keywords

error estimateheteroclinic orbitsolitary wave solutiondamped oscillatory solutionglobal phase portraitdissipative coupled Korteweg-de Vries equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)

Cites Work

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• Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations
• Singular solution in a damped double sinh-Gordon system

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