具有高阶非线性项广义二维BBM方程的精确解  

Explicit solutions of the generalized two-dimension BBM equation with higher order nonlinear terms

作　　者：胡贝贝[1] 唐清干[1] 王琼[1] 元艳香[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

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)

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.

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 

分 类 号：O175.1[理学—数学]