非线性变式Boussinesq方程的行波解及其分支研究（英文）

Bifurcations and Traveling Wave Solutions for Nonlinear Variant Boussinesq Equations

研究了非线性变式Boussinesq方程.利用平面动力系统分支理论得到了其行波系统的相图,并给出了孤立波解和扭波解的精确表达式.此外,还得到了参数β变化时孤立波解的动力学性质.

In this paper,nonlinear variant Boussinesq equations are studied.Applying the bifurcation theory of planar dynamical system,phase portraits of the traveling wave system are obtained.Through discussing the bifurcation of phase portraits,the explicit expressions of solitary wave solutions and kink wave solutions are given.Furthermore,the dynamical behaviors of solitary wave solutions are presented for different values of the parameterβ.