非线性耦合Klein-Gordon方程组的精确行波解与分支

Bifurcation and Exact Solutions of Coupled Nonlinear Klein-Gordon Equations

研究在物理学中有着广泛应用的一类耦合非线性Klein-Gordon方程组.利用动力系统分支理论,首先得到该方程组的分支和相图;其次,通过讨论相关参数的范围,得到所研究方程组的2种形式的精确行波解:孤立波解及周期波解.

In this paper,we discuss travelling wave solutions of coupled nonlinear KleinGordon equations,which are widely used in physics.Firstly,by using bifurcation theory of dynamical system,we get bifurcation and phase portraits of the KleinGordon equations.Then,by discussing the range of related parameter,we get two kinds of exact travelling solutions,i.e.solitary wave solutions and periodic wave solutions.