求解非线性方程的一种辅助函数法
An Improved Auxiliary Function Method for Nonlinear Evolutionary Equations
-
摘要: 提出一种求解非线性演化方程的改进的辅助函数法,根据不同的参数,该方法可给出不同形式的精确解,可有效的用于非线性方程的求解,将之用于求解高阶非线性Schr(¨overo)dinger方程,得到了其多组精确解,方法具有通用性,也可用于求解更复杂的非线性方程.Abstract: A new improved auxiliary function method is proposed for solving nonlinear evolutionary equations; according to different parameters, the said method presents different exact solutions in different forms, which can be used effectively for solving non-linear equations. The method can also be used to solve high-order non-linear Schr(¨overo)dinger equations, and many groups of exact solutions can be obtained, the method proves to be of high universality, so it can also be adopted for solving non-linear equations of even higher complexity.