The Construction And Analysis Of Travelling Wave Solution For Some Wave Equation(s) With The Initial Boundary Value

In this paper,we study the structure of the travelling wave solution for some wave equation(s)with the initial-boundary value.The initial-boundary value problem of wave equation with Neumann boundary on the finite interval and Linear equations with coupling initial boundary value problems are studied separately.This paper is divided into five chapters:In the first chapter,the research background,progress and current status of the travelling wave solution are introduced.In the second chapter,we gives the basic knowledge needed in this paper.In the third chapter,The initial-boundary value problem of wave equation with Neumann boundary on the finite interval is studied.the two methods which are continuation of time t and space variable x are obtained to getting the travelling wave solution of the equation and the traditional method for solving the problem,the separation variable method,is compared with the traditional method..In the fourth chapter,On the basis of last chapter results,we apply the method of the space variable x extension to study the structure of the wave equations with the coupled initial boundary value condition.In the fifth chapter,summary and prospect are carried out.