Title :
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
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;
Conference_Titel :
Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
Conference_Location :
Hohhot
Print_ISBN :
978-1-4244-9436-1
DOI :
10.1109/MACE.2011.5987171
