Exact traveling wave solutions and their bifurcations for the kudryashovsinelshchikov equation

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Original languageEnglish
Article number1250118
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume22
Issue number5
Publication statusPublished - May 2012

Abstract

By using the approach of dynamical systems, the bifurcations of phase portraits for the traveling system of the KudryashovSinelshchikov equation with ν = δ = 0 are studied, in different parametric regions of (α, c)-parametric plane. Corresponding to different phase orbits of the traveling system, more than 26 exact explicit traveling wave solutions are derived. The dynamics of singular nonlinear traveling system is completely determined. © 2012 World Scientific Publishing Company.

Research Area(s)

  • breaking loop solution, KudryashovSinelshchikov equation, peakon, periodic cusp wave solution, singular nonlinear wave system, Solitary wave