一类BBM系统的精确孤立波解(英文)  

Exact Solitary Wave Solutions for a Class of BBM Systems

作　　者：赵烨[1] 

机构地区：[1]北京石油化工学院数理系,北京102617

出　　处：《内蒙古大学学报（自然科学版）》2010年第2期127-131,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：supported by the NSF of China(10671131);Beijing NSF(1092006);Youth Science Foundation of Beijing Institute of Petrolchemical-Technology(08010702016)~~

摘　　要：研究一类耦合BBM系统的精确孤立波解.为找到系统的孤立波解,只需研究一个常微分方程组解的存在性.对于给定的解的形式,此常微分方程组解的求解转化为求解一个非线性代数方程组.利用双曲函数展开法,通过细致的计算,得到了系统的一类显式孤立波解.Exact solitary wave solutions for a class of strongly coupled BBM systems are investigated. To find an explicit solitary wave solution of the system,it is sufficient to find a solution of an ordinary differential equation. For a specified form of solutions,the solution of the ordinary differential equation can be found by solving a system of nonlinear algebraic equations. By means of hyperbolic function method,and by detailed computation,the exact solitary wave solutions of the system are presented.

关 键 词：BBM系统 精确解 孤立波 

分 类 号：O175.2[理学—数学]