Soliton Solutions And Rogue Wave Of Two Classes Of Nonlinear Partial Differential Equations

In this article,we study soliton solutions and rogue wave of two classes of nonlinear partial differential equations.Firstly,by using the homoclinic breather limit method we get the rational solution and rogue wave solution of Kadomtsev-Petviashvili(KP)equation.Then,we discuss the Darboux transformation of the Schrodinger equation,and obtain it's soli-ton solution and rogue wave solution by Taylor expansion.This paper is organized as follows:In the first chapter,we introduce the research background of the soliton,rogue wave,two classes of equations and the main work of this paper.In the second chapter,we firstly introduce the homoclinic breather limit method,and then consider the rational solution and rogue wave solution of the Kadomtsev-Petviashvili(KP)e-quation.In the third chapter,we firstly introduce Darboux transfomation,and then consider the soliton solution and rogue wave solution of Schrodinger equation.In the fourth chapter,we summarize this paper and make some remarks on further research.