Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
Abstract:
In this paper, we use our method to solve the extended Lotka--Volterra equation and
discrete KdV equation. With the help of Maple, we obtain a number of exact solutions
to the two equations including soliton solutions presented by hyperbolic functions
of \sinh and \cosh, periodic solutions presented by trigonometric functions of
\sin and \cos, and rational solutions. This method can be used to solve some
other nonlinear difference--differential equations.