Department of Applied Mathematics, Dalian University of
Technology, Dalian 116024, China
Abstract:
In this paper, we present a method to solve difference differential equation(s). As an example, we apply
this method to discrete KdV equation and Ablowitz-Ladik lattice
equation. As a result, many exact solutions are obtained with the
help of Maple including soliton solutions presented by hyperbolic
functions sinh and cosh, periodic solutions presented by
sin and cos and rational solutions. This method can also be
used to other nonlinear difference-differential equation(s).