Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa-Holm Equation

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Original languageEnglish
Article number2250076
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number5
Publication statusPublished - Apr 2022


For the modified Camassa-Holm equation, by using the methodologies of dynamical systems and singular traveling wave theory developed by Li and Cheri [2007] to its corresponding traveling wave system, under different parameter conditions, all possible exact explicit bounded solutions (solitary wave solutions, periodic wave solutions, peakon, periodic peakons, as well as compactons) are obtained. More than 23 explicit exact parametric representations of the above-mentioned traveling wave system are presented.

Research Area(s)

  • Bifurcation, solitary wave, periodic wave, peakon, periodic peakon, compacton, modified Camassa-Holm equation