Exact Solutions For Some Nonlinear Schrodinger Equations

In this paper,we mainly study some nonlinear partial differential equations by using the existing theories and methods.For example,the EXP-function expansion method and the Auxiliary differential equation method are used to study some nonlinear Schrodinger Equations.They describe the quantum mechanics of particles on the wave behavior.Our main results are as follows:Firstly,we study the Coupled Schrodinger Equation with a Quadratic Non-liearity: By using the Exp-function expansion method some new solutions of Exp-function expansion type are obtained.Secondly,we study the high order nonlinear Schrodinger equation: By using the Auxiliary differential equation method,25group solution was ob-tained.Some are the new solutions of the original equation.