Exact Travelling Wave Solutions of Two Nonlinear Schrödinger Equations by Using Two Methods

摘要

The special kind of (G ’/G )-expansion method and the new mapping method are easy and significant mathematical methods. In this paper, exact travelling wave solutions of the higher order dispersive Cubic-quintic nonlinear Schr ö dinger equation and the generalized nonlinear Schr ö dinger equation are studied by using the two methods. Finally, the solitary wave solutions, singular soliton solutions, bright and dark soliton solutions and periodic solutions of the two nonlinear Schr ö dinger equations are obtained. The results show that this method is effective for solving exact solutions of nonlinear partial differential equations.