广义(N+1)维Boussinesq方程的有界行波解

Bounded Travelling Wave Solutions of the(N+1)-dimensional Generalized Boussinesq Equation

利用平面动力系统分支理论研究广义(N+1)维Boussinsq方程的有界行波解,得到了参数分支集及系统的相图,进而求出了该方程在不同参数条件下孤立波解及周期波解的所有可能的精确表达式.

The bounded travelling wave solutions of the （N ＋ 1）-dimensional generalized Boussinesq equation are studied by using the bifurcation theory of planar dynamical system. The bifurcation of parametric sets are shown as well as phase portraits of the system, then all possible representations of exact solitary wave solutions and periodic wave solutions are given under the different parametric conditions.