| 基于指数函数展开法构造非线性差分微分方程新的精确解 |
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| 引用本文： | 套格图桑,斯仁道尔吉,李姝敏.基于指数函数展开法构造非线性差分微分方程新的精确解[J].内蒙古大学学报(自然科学版),2010,41(4). |
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| 作者姓名： | 套格图桑 斯仁道尔吉 李姝敏 |
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| 作者单位： | 1. 内蒙古师范大学数学科学学院,呼和浩特,010022
2. 包头师范学院数学科学学院,内蒙古 包头,014030 |
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| 基金项目： | 国家自然科学基金，内蒙古自治区高等学校科学研究基金，内蒙古自治区自然科学基金，内蒙古师范大学自然科学青年研究计划资助项目 |
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| 摘 要： | 以双曲正切函数展开法、Jacobi椭圆函数展开法和试探函数法为基础,给出指数函数展开法,借助符号计算系统Mathematica,构造了一般格子方程和(2+1)维Toda格子方程等非线性差分微分方程新的精确解,其中包括精确孤立波解.该方法在构造非线性差分微分方程精确解领域具有普遍意义.
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| 关 键 词： | 指数函数展开法 非线性差分微分方程 精确解 孤立波解 |
Constructing New Exact Solutions of Nonlinear Difference Differential Equations by the Exponential Function Expansion Method |
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| Taogetusang,Sirendaoerji,LI Shu-min.Constructing New Exact Solutions of Nonlinear Difference Differential Equations by the Exponential Function Expansion Method[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(4). |
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| Authors: | Taogetusang Sirendaoerji LI Shu-min |
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| Abstract: | Based on hyperbolic tanh function expansion method,Jacobi elliptic function expansion method and trial function method,an exponential function expansion method is presented and applied to construct new exact solutions of the general lattice,(2+1)-dimensional Tode lattice equation and other nonlinear difference differential equations with the help of symbolic computation system Mathematica.The solutions include exact solitary wave solutions.The method is of significance to seek exact solutions of other nonli... |
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| Keywords: | exponential function expansion method nonlinear difference differential equation exact solution solitary wave solution |
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