非线性偏微分方程的多孤子解

Multiple-soliton solutions of the nonlinear partial differential equation

对齐次平衡法的一些关键步骤进行拓宽 ,获得了一系列非线性方程的多孤子解 ,使得对非线性方程的多孤子解的求解方法更加直接 ,且许多步骤可以利用计算机完成 .

In this paper we improve some key steps in the homogeneous balance method, then by using this method we are able to obtain multiple soliton solutions of some nonlinear partial differential equations. This makes methods of solving nonlinear partial differential equations become more direct; furthermore, many steps of this method can be performed by computer.