Bifurcations and some new traveling wave solutions for the CH-γ equation

摘要

In this paper, the CH-γ equation is investigated by employing the bifurcation theory and the method of phase portraits analysis. The dynamical behavior of equilibrium points and the bifurcations of phase portraits of the traveling wave system corresponding to this equation are discussed. Under some parameter conditions, some bounded traveling wave solutions such as solitary waves, peakons and periodic cusp waves are presented. Furthermore, based on the auxiliary equation, various new traveling wave solutions of parametric form are given. The previous results for this equation are extended.