The bifurcation and peakon for Degasperis–Procesi equation

Liqin Yu, Lixin Tian and Xuedi Wang

Chaos, Solitons & Fractals, 2006, vol. 30, issue 4, 956-966

Abstract: The analysis qualitative methods of planar dynamical systems are used to study the peaked solitary wave solutions for Degasperis–Procesi equation with the dispersion term. By using the phase portrait bifurcation of traveling wave system, periodic wave solutions and solitary wave solutions are constructed in two different ways, and their convergence is showed when g varies. The general explicit expression of peaked solitary wave solutions is obtained under some parameter conditions.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:4:p:956-966

DOI: 10.1016/j.chaos.2005.08.152

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