Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation

DOI10.1016/j.amc.2009.09.036zbMath1203.35242OpenAlexW2002792340MaRDI QIDQ609323

Yao Long, Xinsong Yang, Wei-Guo Rui, Chan Chen

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.2009.09.036

zbMATH Keywords

soliton-like solutiongeneralized KdV equationkink-like wave solutionintegral bifurcation methodperiodic wave solutions with loop

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08)

Related Items

Integral bifurcation method together with a translation-dilation transformation for solving an integrable 2-component Camassa-Holm shallow water system ⋮ Existence analysis of traveling wave solutions for a generalization of KdV equation ⋮ New types of doubly periodic standing wave solutions for the coupled Higgs field equation ⋮ New soliton-like solutions and compacton-like periodic wave solutions of parametric type to a nonlinear dispersive equation

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