摘要

　　　Tanh-函数法是一种直接和有效处理非线性微分方程的代数方法，本文利用Tanh-函数法，并且通过Maple数学软件的辅助计算,求出非线性微分方程的精确解,获得了一些与现有参考文献中结构不相同的精确解,本文用的方法还可以用来解决部分非线性微分方程（组）.

关键词：Tanh-函数法；齐次平衡原则；耦合的；精确解；Kdv方程．

ABSTRACT

Tanh-function mathod is a direct and effective treatment of nonlinear differential equation,In this paper,the many solution of nonlinear differential equations are studied by using combined Tanh-function mathod .And numerical simulattion by opeating Maple.Access to with the references is not the same as the exact solution ,This show mathod can also be used to solve partial nonlinear differential equation.