Bifurcation analysis of travelling wave solutions in the nonlinear Klein–Gordon model with anharmonic coupling

摘要

By using bifurcation method of phase portraits and theory of dynamical systems to the nonlinear Klein–Gordon model, in the range 0⩽r<1, numbers of kink compactons, solitary wave, kink and anti-kink waves are given for each parameter condition. The parameter condition when the type of travelling wave changes is obtained.