Explicit and Exact Solutions with Multiple Arbitrary Analytic Functions of Jimbo-Miwa Equation

In this paper, a generalized F-expansion method is used to construct exact solutions of the (3+1)-dimensional Jimbo-Miwa equation. As a result, many new and more general exact solutions are obtained including single and combined non-degenerate Jacobi elliptic function solutions, hyperbolic function solutions and trigonometric function solutions, each of which contains six arbitrary analytic functions. It is shown that with the aid of symbolic computation the generalized F-expansion method may provide a straightforward and effective mathematical tool for solving nonlinear partial differential equations.