(2+1)维Broer-Kaup方程的多孤子解

Multion solutions of the (2+1)Broer-Kaup equations

利用推广的齐次平衡方法 ,首先将 (2 +1 )维 Broer-Kaup方程线性化 ,然后构造出丰富的广义孤子解。此方法直接而简单 ,可推广应用到一大类 (2 +1 )维非线性方程。

In this paper, by using the generslized homogeneous balance method, the linearization form of the (2+1)Broer-Kaup equations are established. Starting from their linear form, the generalized solutions are constructed. This method used here is very simple and effective and can generalized to a large class of (2+1)evolution equations.