The First Integral Method for Solving Exact Solutions of Two Higher Order Nonlinear Schrödinger Equations

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).