Phase Portraits of a Generalized Camassa-Holm Equation

In order to conduct research on traveling wave solutions of a generalized Camassa-Holm equation,a bifurcations of a generalized Camassa-Holm equation is considered in this paper by using the transformation of traveling wave,bifurcation theory of planar dynamical system and the Maple symbolic computation program.Different phase portraits of the system in different regions are obtained.