A generalized F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations

In this paper, a generalized F-expansion method is proposed to seek more general exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1)-dimensional Konopelchenko–Dubrovsky equations to illustrate the validity and advantages of the method. As a result, many new and more general exact solutions are obtained including single and combined Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions. The method can be applied to other nonlinear partial differential equations in mathematical physics.