Researches About Solving Nonlinear Evolution Equations

This dissertation has mainly done the following four as-pects research:First,apply the modified extended Fan s sub-equationmethod to higher-dimensional coupled burgers equation.Second,educeexplicit and exact travelling wave solutions for variable coefficientmKdV equation by different Riccati equation and object function.Thethird,the generalization of Double parameter hypothesis and the ex-act solutions of variant Boussioesq equations 2.The last,give a newDarboux transformation and new soliton-like solutions for the Broer-Kaup system.The structure of this paper is as follows:Chapter 1 isconcerned with the exposition of the development and the researchsituation of several subjects which will be discussed in this paper.The main results of this dissertation are brieffy introduced in thischapter.Chapter 2 mainly apply generalized tanh function method tothe nonlinear evolution equation and give a new Darboux transforma-tion.Yield new exact solutions of higher-dimensional coupled burgersequation,variable coefficient mKdV equation,Variant BoussioesqEquations 2,the Broer-Kaup system.