Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized degasperis–procesi equation

Zhang, Lijun
Chen, Li-Qun
Huo, Xuwen

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Publication date

August 2007

DOI

10.1016/j.cam.2006.04.047

Publisher

Elsevier B.V.

ISSN

0377-0427

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Abstract

AbstractIn this paper, we employ the bifurcation theory of planar dynamical systems to study the smooth and nonsmooth traveling wave solutions of the generalized Degasperis-Procesi equationut-uxxt+4umux=3uxuxx+uuxxx.The parameter condition under which peakons, compactons and periodic cusp wave solutions exist is given. The numerical simulation results show the consistence with the theoretical analysis at the same time

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Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized degasperis–procesi equation

Abstract

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Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized degasperis–procesi equation

Abstract

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