具有高阶非线性项广义二维BBM方程的精确解

摘要

为求得广义二维BBM方程的精确解,利用平面动力系统的分支理论,研究广义二维BBM方程,获得了孤立波解、周期波解、扭波解,并给出了广义二维BBM方程在不同参数下解的精确参数表示,这些解能较好地解释社会与自然中的现象.%Abstract:In order to obtain exact solutions of the generalized two-dimension BBM equation,the bifurcation theory of planar dynamical system is used,the generalized two-dimension BBM equation is studied,the solitary wave solutions,periodic wave solutions and kink wave solutions are obtained.The explicit solutions of generalized two-dimension BBM equation under the different parameters are given.The phenomena in the society and nature can be well explained according to the solutions.