| 一族离散可积系统及其Hamilton结构 |
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| 引用本文： | 李玉青,赵秋兰.一族离散可积系统及其Hamilton结构[J].烟台师范学院学报(自然科学版),2008(4). |
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| 作者姓名： | 李玉青 赵秋兰 |
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| 作者单位： | 山东科技大学理学院 |
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| 摘 要： | 引入一个新的离散等谱特征值问题,导出相应的非线性微分-差分方程族,利用迹恒等式建立了方程族的Hamilton结构,证明了方程族是Liouville可积的.
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| 关 键 词： | 离散可积系统 HAMILTON结构 迹恒等式 LIOUVILLE可积 |
A Hierarchy of Discrete Integrable Systems and Its Hamilton Structure |
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| LI Yu-qing; ZHAO Qiu-lan.A Hierarchy of Discrete Integrable Systems and Its Hamilton Structure[J].Yantai Teachers University journal(Natural Science Edition),2008(4). |
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| Authors: | LI Yu-qing; ZHAO Qiu-lan |
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| Institution: | LI Yu-qing; ZHAO Qiu-lan(College of Science; Shandong University of Science and Technology; Qingdao 266510; China); |
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| Abstract: | A new discrete isospectral problem is introduced and the corresponding nonlinear difference equations are derived.By means of the trace identity the Hamilton structure of the equations is constructed and the Liouville integrability is also proved. |
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| Keywords: | discrete integrable system Hamilton structure trace identity Liouville integrability |
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