Constructing exact solutions to discrete systems with the trial function method

摘要

Based on the homogenous balance method and the trial function method,several trial function methods composed of exponential functions are proposed and applied to nonlin-ear discrete systems.With the help of symbolic computation system,the new exact solitary wave solutions to discrete nonlinear mKdV lattice equation,discrete nonlinear(2 + 1) dimen-sional Toda lattice equation,Ablowitz-Ladik-lattice system are constructed.The method is of significance to seek exact solitary wave solutions to other nonlinear discrete systems.