Exact Envelope Traveling Wave Solutions For Two Kinds Of Nonlinear Schr(?)dinger Equations

In this paper,the complete discriminant system for polynomial method and elementary integral method are used to construct the exact envelope traveling wave solution for two kinds of nonlinear Schr(?)dinger equations.The two equations are the fourth-order dispersive nonlinear Schr(?)dinger equation and the non Kerr nonlinear Schr(?)dinger equation.According to the different parameters,each solution is given by analytic expression.When the concrete parameters are taken,the physical realizations of the corresponding solutions are obtained.By using Matlab software,the three-dimensional graphs of solutions are drawn.