Solitary wave solutions and kink wave solutions for a generalized Zakharov-Kuznetsov equation

DOI10.1016/J.AMC.2009.05.067zbMath1203.35244OpenAlexW2084213297MaRDI QIDQ609283

Jionghui Cai, Ming Song

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.067

zbMATH Keywords

solitary wave solutionsbifurcation of phase portraitskink wave solutions

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) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Soliton solutions (35C08)

Related Items (6)

Application of the bifurcation method to the Whitham-Broer-Kaup-like equations ⋮ INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2 + 1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY ⋮ New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations ⋮ Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation ⋮ Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity ⋮ Bifurcation phenomena of nonlinear waves in a generalized Zakharov-Kuznetsov equation

Cites Work

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• Four types of bounded wave solutions of CH-\(\gamma\) equation
• Symmetry Reductions and Explicit Solutions for a Generalized Zakharov–Kuznetsov Equation
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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