| Constructing exact solutions to discrete systems with the trial function method |
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| 作者单位： | College of Math.Sci.，Inner Mongolia Normal Univ. |
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| 基金项目： | 国家自然科学基金，Science Research Founda-tion of Institution of Higher Education of Inner Mongolia Autonomous Region，内蒙古自然科学基金，Natural Science Research Program of Inner Mongolia Normal University |
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| 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 nonlinear 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） dimensional 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.
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| 关 键 词： | 函数论 离散式 实变函数 描述理论 |
| 收稿时间： | 6 January 2007 |
Constructing exact solutions to discrete systems with the trial function method |
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| Authors: | Taogetusang Sirendaoerji |
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| Institution: | College of Math. Sci., Inner Mongolia Normal Univ., Huhhot 010022, China |
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| 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. |
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| Keywords: | the trial function method discrete system (2 1)-dimensional Hybrid-lattice system exact solitary wave solution |
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