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, 1-14

Abstract:

By using the bifurcation method of dynamical systems and the method of phase portraits analysis, we consider a two-component Degasperis-Procesi equation: , , 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:183159

DOI: 10.1155/2013/183159

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