Solitary Wave Solutions For A Class Of Nonlinear Evolution Equations

Seeking the explicit solution of the nonlinear partial di?erential equation(NPDEs) is an important subject in soliton theory and its application. In the pastdecades, both mathematicians and physicists have devoted considerable e?ortto the study of solitons of the construction of solutions to nonlinear evolutionequation, many powerful methods have been presented in solving constant andvariable coe?cint nonlinear evolution equation. In this paper, applications of theJacobi elliptic function expansion method and F-expansion method in constantand variable coe?cient nonlinear evolution equation are considered.The article is mainly divided into two chapters.In chapter 1, by the Jacobi elliptic function expansion method, we discussthe constant coe?cient nonlinear evolution equations such as (2+1)-dimensionalKdV equation and Davey-Stewartson equations and also attain periodic andsolitary wave solutions.In chapter 2, by the F-expansion method, we attain elliptic periodic, soli-tary wave of variable coe?cient KdV equation. And also using the truncatedexpansion method we attain its rational formal and triangle function solutions.