Dynamical analysis of a generalized Camassa-Holm equation

Author

Sun, Min ; Zhang, Wei

Author_Institution

Coll. of Mech. Eng., Beijing Univ. of Technol., Beijing, China

fYear

2011

fDate

15-17 July 2011

Firstpage

1262

Lastpage

1265

Abstract

Research on traveling wave solutions of generalized Camassa-Holm equation is one of the hottest points in the study of nonlinear dynamic system. The peakon and bifurcations in a generalized Camassa-Holm equation are considered in this paper. By using nonlinear transform and the transform of traveling wave to the generalized Camassa-Holm equation, averaged equation is obtained. We applied the bifurcation theory of planar dynamical system and maple software to investigate the equation. We obtain the peakon from the homoclinic orbit. The results obtained will play an important directive role in the study of Camassa-Holm equation.

Keywords

bifurcation; nonlinear dynamical systems; partial differential equations; waves; averaged equation; bifurcation theory; dynamical analysis; generalized Camassa-Holm equation; homoclinic orbit; maple software; nonlinear dynamic system; nonlinear transform; peakon; planar dynamical system; traveling wave; Bifurcation; Mathematical model; Orbits; Solitons; Transforms; Zirconium; Camassa-Holm equation; bifurcation; dynamic system; peakon;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on

Conference_Location

Hohhot

Print_ISBN

978-1-4244-9436-1

Type

conf

DOI

10.1109/MACE.2011.5987171

Filename

5987171