Bifurcations and Parametric Representations of Peakon, Solitary Wave and Smooth Periodic Wave Solutions for a Two‐Component Degasperis‐Procesi Equation

Bin He, Qing Meng and Jinhua Zhang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: By using the bifurcation method of dynamical systems and the method of phase portraits analysis, we consider a two‐component Degasperis‐Procesi equation: mt = −3mux − mxu + kρρx, ρt = −ρxu + 2ρux, the existence of the peakon, solitary wave and smooth periodic wave is proved, and exact parametric representations of above travelling wave solutions are obtained in different parameter regions.

Date: 2013
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https://doi.org/10.1155/2013/183159

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:183159

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