An Improved Auxiliary Function Method for Nonlinear Evolutionary Equations

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.