Bifurcations of travelling wave solutions for the nonlinear dispersion Drinfel'd-Sokolov \((D(m,n))\) system

DOI10.1016/J.AMC.2009.07.047zbMath1203.35203OpenAlexW2052654149MaRDI QIDQ609311

Kelei Zhang, Shengqiang Tang, Zhaojuan Wang

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.2009.07.047

zbMATH Keywords

travelling wave solutionsbifurcations of phase portraitsnonlinear dispersion \(D(m,n)\) systemsmoothness of wave

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (4)

Some interesting bifurcations of nonlinear waves for the generalized Drinfel'd-Sokolov system ⋮ Classification of single traveling wave solutions to the nonlinear dispersion Drinfel'd-Sokolov system ⋮ 1-soliton solution of the \(D(m,n)\) equation with generalized evolution ⋮ Cnoidal wave, snoidal wave, and soliton solutions of the \(D(m,n)\) equation

Cites Work

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• New exact solution profiles of the nonlinear dispersion Drinfel'd-Sokolov \((D(m, n))\) system
• The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Symbolic computations of conserved densities for systems of nonlinear evolution equations
• Traveling wave solutions for a class of nonlinear dispersive equations
• Exact and explicit travelling wave solutions for the nonlinear Drinfeld--Sokolov system
• A List of 1 + 1 Dimensional Integrable Equations and Their Properties
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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