(2+1)维Broer-Kaup方程的广义dromion解结构

Generalized dromion structures of the (2+1) dimensional 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 ,包括单孤子解 ,单曲线孤子解 ,单dromion解 ,多dromion解。此方法直接而简单 ,可推广应用一大类 (2 + 1)维非线性可积方程。

In this paper, by using the generalized homogeneous balance method, the linearization form of the (2+1) dimensional Broer Kaup equations are established. Starting from their linear form, the generalizeed dromion solutions are constructed. Single soliton, single curve soloton, single dromion, multi dromion and basic dromion can be obtained. This method used here is very simple and effective and can generalized to a large class of (2+1) dimensional evolution equations.