Bifurcations of travelling wave solutions for generalized Drinfeld-Sokolov equations

DOI10.1007/s10483-006-1113-1zbMath1231.35036OpenAlexW2093913956MaRDI QIDQ940162

Bin He, Wei-Guo Rui, Yao Long, Chan Chen

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-1113-1

zbMATH Keywords

solitary waveperiodic wavekink wavegeneralized Drinfeld-Sokolov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items

Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation ⋮ CONSTRUCTION OF FRACTAL SOLITON SOLUTIONS FOR THE FRACTIONAL EVOLUTION EQUATIONS WITH CONFORMABLE DERIVATIVE ⋮ Traveling wave solutions \((u,\nu)\) to a generalized Drinfel'd-Sokolov system which satisfy \(u=a_1\nu^m+a_0\) ⋮ Some interesting bifurcations of nonlinear waves for the generalized Drinfel'd-Sokolov system ⋮ Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6

Cites Work

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• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation