Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation

In this paper, with the aid of the symbolic computation we improve the extended F-expansion method in [Chaos, Solitons & Fractals 2004; 22:111] and propose the further improved F-expansion method. Using this method, we have gotten many new exact solutions which we have never seen before within our knowledge of the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation. In addition,the solutions we get are more general than the solutions that the extended F-expansion method gets. The solutions we get include Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions and so on. Our method can also apply to other partial differential equations and can also get many new exact solutions. (c) 2005 Elsevier Ltd. All rights reserved.