Bifurcations of travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation

DOI10.1016/J.CNSNS.2009.12.027zbMath1222.35153OpenAlexW1982987838MaRDI QIDQ720251

Jihong Rong, Shengqiang Tang, Wen-tao Huang

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.12.027

zbMATH Keywords

compactonssolitary wave solutionHolm equationperiodic cusp wave solutionbreaking wave solutiongeneralized Camassa

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items (3)

Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations ⋮ Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations ⋮ Bifurcations and exact traveling wave solutions for the KdV-like equation

Cites Work

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• Bifurcation of travelling wave solutions for the generalized ZK equations
• Bifurcation of travelling wave solutions for the generalized ZK-BBM equations
• Bifurcations of travelling wave solutions in the \((N + 1)\)-dimensional sine-cosine-Gordon equations
• Travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Traveling wave solutions for a class of nonlinear dispersive equations
• Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equations
• Bifurcations of travelling wave solutions for the \(K(n,-n,2n)\) equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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