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The First Integral Method for Solving Exact Solutions of Two Higher Order Nonlinear Schrödinger Equations
Authors: Qingmei Zhang, Mei Xiong, Longwei Chen
Number of views: 396
In this paper, exact travelling wave solutions of two higher order nonlinear Schrödinger
equations (NLSEs) are studied by using the first integral method. Firstly, two higher order nonlinear
Schrödinger equations are reduced to nonlinear ordinary differential equations (ODEs) by simple
travelling wave transformations. Then the division theorem of polynomial is used to calculate first
integrals of dynamic systems. Finally, the soliton wave solutions, kink wave solutions and periodic
wave solutions of two higher order nonlinear Schrödinger equations are obtained. The results show
that this method is effective for solving exact solutions of nonlinear partial differential equations
(PDEs).