PEAKONS AND BIFURCATIONS IN A GENERALIZED CAMASSA-HOLM EQUATION

• 作 者: M.Sun[1]W.Zhang[1]J.Li[2]
• 机 构: College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China
• 出 处: The Third International Conference on Dynamics,Vibration and
• 发表日期: 2010年期

　　The bifurcation theory of the plane polynomial vector fields which plays an important role in the study of nonlinear dynamic system is one important research domain of the theory of ordinary differential equation.Research on traveling wave solutions of a generalized Camassa-Holm equation is one of the most popular subjects in the study of nonlinear dynamic system.Camassa and Holm used Hamiltonian methods to derive a new completely integrable dispersive wave equation for water waves by retaining two terms, which are usually =neglected in the small amplitude shallow water limit.