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,只需研究一个肯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.