Study Of Several Types Methods Of Construction Of The Solutions Of The Nonlinear Evolution Equations

This article describes several types of nonlinear evolution equations of the system construction method, such as expansion of the auxiliary equation, exp exponential function and hyperbolic function expansion method, etc., obtained a series of nonlinear evolution equations exact solutions, including common solitary wave solutions and periodic wave solutions. It includes the following aspects.Chapter 1:Expansion of the auxiliary equation method were assisted by three different equations, using different transformation function to construct a number of new analytical solutions, including solitary wave solutions and periodic wave solutions. This approach simplifies the process of building a solution, the solution obtained is also novel and effective, as this method can also be used to build other nonlinear evolution equations.Chapter 2:EXP exponential function to construct exact and new solutions of the nonlinear evolution equations is very simple, diverse, effective, and has been widely used. To Jaulent-Miodek equation as an example, the use of computer algebra system, you can get a lot of new exact solutions, including solitary wave solutions.Chapter 3:Using the extended hyperbolic function method, to build a different solution of nonlinear evolution equations. From this construct the hyperbolic function expansion method the solution of nonlinear evolution equations is very convenient and effective.