| 构造非线性差分方程精确解的一种方法 |
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| 引用本文： | 套格图案. 构造非线性差分方程精确解的一种方法[J]. 高校应用数学学报(A辑), 2008, 23(3) |
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| 作者姓名： | 套格图案 |
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| 作者单位： | 内蒙古师范大学,数学科学学院,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金，内蒙古高等学校科研项目，内蒙古自然科学基金，内蒙古师范大学校科研和教改项目 |
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| 摘 要： | 在齐次平衡法、试探函数法的基础上,给出指数函数所组成的两种试探函数法,并借助符号计算系统Mathematica构造了Hybrid-Lattice系统、mKdV差分微分方程、Ablowitz-Ladik.Lattice6系统等非线性离散系统的新的精确孤波解.
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| 关 键 词： | 试探函数法 离散系统 精确孤泼解 |
A method of constructing the exact solutions to nonlinear differential-difference equations |
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| Taogetusang. A method of constructing the exact solutions to nonlinear differential-difference equations[J]. Applied Mathematics A Journal of Chinese Universities, 2008, 23(3) |
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| Authors: | Taogetusang |
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| Abstract: | Based on the homogeneous balance method and trial function method,two trial func- tion methods of exponential functions are presented.New exact solitary solutions to the nonlinear discrete systems are constructed by use of these methods and with the help of symbolic computa- tion system Mathematica,such as the discrete Hybrid-Lattice system,mKdV differential-difference equations,Ablowitz-Ladik-Lattice system. |
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| Keywords: | trial function method differential-difference system exact solitary wave solution |
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