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Constructing exact solutions to discrete systems with the trial function method
Authors:Taogetusang Sirendaoerji
Affiliation:College of Math. Sci., Inner Mongolia Normal Univ., Huhhot 010022, China
Abstract: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.
Keywords:the trial function method  discrete system  (2 1)-dimensional Hybrid-lattice system  exact solitary wave solution
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