Bifurcation of travelling wave solutions for the generalized ZK equations

DOI10.1016/J.CNSNS.2008.06.026zbMath1221.35369OpenAlexW2014968306MaRDI QIDQ716725

Shengqiang Tang, Zhaojuan Wang

Publication date: 30 September 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.2008.06.026

zbMATH Keywords

travelling wave solutionsbifurcation theorygeneralized ZK equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32)

Related Items (3)

Bifurcation of solitary and periodic waves of an extended cubic-quintic Schrödinger equation with nonlinear dispersion effects governing modulated waves in a bandpass inductor-capacitor network ⋮ Bifurcation of travelling wave solutions for the generalized KP-MEW equations ⋮ Bifurcations of travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation

Cites Work

• Unnamed Item
• The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
• Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems
• Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation.
• Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
• Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form
• Traveling wave solutions for a class of nonlinear dispersive equations
• Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system
• The Modified Korteweg-de Vries Equation
• The Painlevé analysis of the Zakharov-Kuznetsov equation
• Compactons: Solitons with finite wavelength

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