| A Hierarchy of Differential-Difference Equations and Their Integrable Couplings |
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| 引用本文： | 罗琳 范恩贵. A Hierarchy of Differential-Difference Equations and Their Integrable Couplings[J]. 中国物理快报, 2007, 24(6): 1444-1447 |
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| 作者姓名： | 罗琳 范恩贵 |
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| 作者单位： | [1]School of Mathematics, Fudan University, Shanghai 200433 [2]Department of Mathematics, Xiaogan University, Xiaogan 432100 |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grant No 10371023. |
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| 摘 要： |
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| 关 键 词： | 微分差方程 可积耦合 数学物理 差异 |
| 收稿时间： | 2007-04-11 |
| 修稿时间： | 2007-04-11 |
A Hierarchy of Differential-Difference Equations and Their Integrable Couplings |
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| LUO Lin,FAN En-Gui. A Hierarchy of Differential-Difference Equations and Their Integrable Couplings[J]. Chinese Physics Letters, 2007, 24(6): 1444-1447 |
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| Authors: | LUO Lin FAN En-Gui |
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| Affiliation: | 1 School of Mathematics, Fudan University, Shanghai 200433 2Department of Mathematics, Xiaogan University, Xiaogan 432100 |
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| Abstract: | Starting from a discrete spectral problem, the corresponding hierarchy of nonlinear differential-difference equation is proposed. It is shown that the hierarchy possesses the bi-Hamiltionian structures. Further, two integrable coupling systems for the hierarchy are constructed through enlarged Lax pair method. |
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| Keywords: | 02.90.+p 05.45.Yv |
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