The Grammian Solution Of A(3+1) Dimensional Soliton Equation And The Associated Equations With Self-consistent Source

In this paper,we study a?3+1?dimensional soliton equation.In Chapter 3,we obtained a Grammian solution of this equation by using Hirota bilinear method.In chapter 4,by variation of the constantc_ij to be an undetermined function of variablet,we achieved a coupled equation with self-consistent source,and meanwhile gave its determinant solution.In the last chapter,through variation of the constantc_ij to be an undetermined function of variable z,we got another coupled equation with source.