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Explicit peaked wave solutions to the generalized Camassa-Holm equation

✍ Scribed by Zhen-hui Xu; Xi-qiang Liu

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
158 KB
Volume
26
Category
Article
ISSN
0168-9673

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The analytic expressions of peaked solitary wave solutions and peaked periodic wave solutions of Camassa-Holm equation are obtained by using bifurcation method of planar dynamical systems. The convergence of the peaked periodic wave solutions is proved. Numerical simulation results show the consiste

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In this paper, we consider generalized Camassa-Holm equations and the generalized weakly dissipative Camassa-Holm equations and derive some new exact peaked solitary wave solutions. For m ΒΌ 3, where m is representative of the strength of the nonlinearity, we give two types new exact traveling wave s