首次积分法及其在非线性发展方程中的应用

THE FIRST INTEGRAL METHOD AND ITS APPLICATIONS IN NONLINEAR EVOLUTION EQUATIONS

通过结合李群理论和微分系统的首次积分,提出了一种扩展的首次积分法。利用此方法并借助符号计算Maple和吴氏消元法得到了变系数ANNV方程的一些新的精确解。

A generalized first integral method is proposed by studying Lie group theory and first integral of differential system. The method is applied ANNV equation with variable-coefficients. Furthermore, some new exact solutions are obtained based on the Maple and Wu method.