Bifurcation of travelling wave solutions for the generalized ZK-BBM equations

DOI10.1016/j.cnsns.2008.12.004zbMath1221.35370OpenAlexW4253110258MaRDI QIDQ717404

Zhaojuan Wang, Shengqiang Tang

Publication date: 2 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.2008.12.004

zbMATH Keywords

travelling wave solutionsbifurcation theorygeneralized ZK-BBM equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Soliton equations (35Q51) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

Periodic wave solutions and their limits for the ZK-BBM equation ⋮ Bifurcations of travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation

Cites Work

• Unnamed Item
• Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems
• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
• Traveling wave solutions for a class of nonlinear dispersive equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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