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Computational and Applied Mathematics Journal

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Bifurcations of Traveling Wave Solutions for a Generalized Camassa-Holm Equation

Computational and Applied Mathematics Journal
Vol.3 , No. 6, Publication Date: Feb. 12, 2018, Page: 52-59

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Authors

[1]	Minzhi Wei, Department of Information and Statistics, Guangxi University of Finance and Economics, Nanning, P. R. China.
[2]	Junning Cai, Department of Information and Statistics, Guangxi University of Finance and Economics, Nanning, P. R. China.

Abstract

The dynamical behavior of traveling wave solutions in the generalized Camassa-Holm equation is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which smooth solitary waves periodic waves appear are also given. What more interesting is it gives rise to M-shape and W-sharp type solutions.

Keywords

Bifurcation Theory, Smooth Solitary Wave Solutions, Periodic Wave Solutions, M/W-Shape Type Solutions, Generalized Camassa-Holm Equation

Reference

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