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

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• 作者：Jianwei Shen ; Baojun Miao ; Lingling Guo
• 关键词：Travelling wave solution ; Smoothness of waves ; Bifurcation theory ; Breaking wave ; Nonlinear Klein– ; Gordon equation
• 刊名：Applied Mathematics and Computation
• 出版年：2007
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：15 May 2007
• 卷：188
• 期：2
• 页码：1975-1983
• 文件大小：1085 K

摘要

By using bifurcation method of phase portraits and theory of dynamical systems to the nonlinear Klein–Gordon model, in the range 0r<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.