One Dimensional Of Nonlinear Schrodinger Equation

This article is about one dimensional nonlinear Schrodinger equation.first,we s-tudy the relationship between first order partial differential of amplitude and amplitude,and if condition is proper,they satisfy algebra equation.Second We study the change of a signal when we double it.we use two ways to solve the problem.One is to construct algebra equation between first order partial differential of amplitude and amplitude,and find out some existing relationships between them,using Division theorem;Another is to construct fractional function,using exponential function and trigonometric function to construct numerator and denominator.The common of two ways is to make coeffi-cients that are polynomial to be zero,or the algebra polynomial to be zero.Therefore we translate the problems of partial differential equation to algebra equation.