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。
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.
出处
《桂林电子科技大学学报》
2013年第4期335-338,共4页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(11061010)
中国博士后基金(20100480952)
广西自然科学基金(2011GXNSFA018136)
关键词
广义二维BBM方程
分支理论
孤立波解
周期波解
扭波解
generalized two-dimension BBM equation
bifurcation theory
solitary wave solutions
periodic wave solutions
kink wave solutions
