广义Boussinseq波动方程的周期波解

Exact explicit solutions of a nonlinear evolution equation

运用动力系统分支方法研究非线性发展方程的精确行波解,获得了一些孤立波解和椭圆函数形式的周期波解的显示表达式.并且证明了在某种意义下,孤立波解是周期波解的极限,表明在某些情形下可以通过周期波解得到孤立波解.

We employ bifurcation method of dynamical systems to investigate exact traveling wave solutions of a nonlinear evolution equation. We obtain some exact explicit expressions of solitary wave solutions and some new exact periodic wave solutions in parameter forms of Jacohian elliptic function. We point out that the solitary waves are limits of the periodic waves in some sense, the results infer that the periodic waves degenerate solitary waves in some conditions.