In this thesis, we use the(?)-expansion method to study three nonlinear partial differential equations, and obtain abundant exact solutions. Our work enriches the application of the three nonlinear partial differential equations in various fields.The thesis is divided into the following four chapters. In the first chapter, we introduce the methods for solving the exact solution of nonlinear partial differential equations and the work of our thesis. Chapter two to chapter four, we respectively obtain abundant exact solutions of the coupled Klein-Gordon-Zakharov equations, the classical Drinfel'd-Sokolov-Wilson equations and the generalized Zakharov equations by using the(?)-expansion method. Meanwhile, we compare the abundant exact solutions obtained here with the exact solutions of the existing literatures.Finally, we make a summary of this thesis and look ahead of research orientation in future. |