一类(3+1)维非线性Jaulent-Miodek分层发展方程的行波解分岔（英文）

Bifurcations of traveling wave solutions of a(3+1)-dimensional nonlinear model generated by the Jaulent-Miodek hierarchy

应用动力系统分岔理论研究一类(3+1)维非线性Jaulent-Miodek分层发展方程的行波解分岔,根据分岔参数的不同值得到非线性变换系统的相图.通过计算得到(3+1)维非线性Jaulent-Miodek分层发展方程的精确行波解,包括周期波解、孤立波解、扭波解及反扭波解.

We study bifurcation of traveling wave solutions of a class of （3＋1）-dimensional nonlinear evolution equations generated by the Jaulent-Miodek hierarchy. We obtain phase portraits of the nonlin- ear transformation system according to the different bifurcation regions of parameters. Different kinds of traveling wave solutions, such as the periodic wave solutions, solitary wave solutions, kink wave so- lutions and anti-kink wave solutions axe found to exist under certain parameter conditions, and the exact solutions of traveling waves are obtained.