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

Abstract 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.

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