A new extended Riccati equation rational expansion method and its application

In this paper, a new extended Riccati equation rational expansion method is suggested to constructing multiple exact solutions for nonlinear evolution equations. The validity and reliability of the method is tested by its application to the dispersive long wave system and the Broer-Kaup-Kupershmidt system. The method can be applied to other nonlinear evolution equations in mathematical physics. (c) 2005 Published by Elsevier Ltd.