Bifurcations of traveling wave and breather solutions of a general class of nonlinear wave equations

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Original languageEnglish
Pages (from-to)2913-2926
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number9
Publication statusPublished - Sep 2005


Bifurcations of a general class of traveling wave solutions are analyzed. In particular, the existence of solitary wave, kink and anti-kink wave solutions, and uncountably infinite periodic wave solutions and breather solutions of a general class of traveling wave equations is proved. Also, the existence of breaking wave solution is discussed in detail. Under different parametric conditions, several sufficient conditions for the existence of these solutions are derived. Sufficient simulation results are provided to visualize the theoretical results. © World Scientific Publishing Company.

Research Area(s)

  • Bifurcation, Breaking wave solution, Breather solution, Kink and anti-kink solution, Nonlinear wave equation, Periodic traveling wave solution, Solitary traveling wave solution

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