Several Classes Of Nonlinear Partial Differential Equation Analysis And Exact Solutions Of Symmetry

Along with the development of modern science and technology, especially in physics and mathematics,to nonlinear problem of studies have permeated into the various fields,for example in dynamics, fluid mechanics, life science, environ-mental science and so on. exploring all kinds of differential equation and solution of nature has become the hot point that people study.The main work contained here are as follows:Firstly, Exp-function method is used to solve the exact solution of the two equations. secondly, The undeter-mined coefficients is applied to differential equation. Lastly, Classical Lie group method is applied to construct invariant Solutions in Differential equation.Chapter one:The main background and current situation of the Lie group theory and this paper studies the content and the need in this article takes about approximately method.Chapter two Exp-function method is used to solve the exact solution of BBM equation KG equation For traveling wave reduction, and then finding out the exact solution of the two equations.Chapter three The undetermined coefficients is applied to differential equa-tion k times power K-P equation: Reduction of symmetric, and then finding out the exact solution of the equation. Chapter four Classical Lie group method is applied to(2+1) modified equal width of the Z-K equation: Given the Lie symmetry, and work out group invariant solution and reduced equation.Chapter five Summary of the summary and discussion of the full paper.