| 一族离散可积耦合系统及其Hamilton结构 |
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| 引用本文： | 李雪花,商万群.一族离散可积耦合系统及其Hamilton结构[J].鲁东大学学报,2010,26(2). |
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| 作者姓名： | 李雪花 商万群 |
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| 作者单位： | 山东科技大学,信息学院,山东,青岛,266510 |
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| 摘 要： | 从一离散等谱问题的可积性出发,推出了一族新的耦合方程,并利用离散变分恒等式给出了其无限维Hamilton结构,最后证明了该Hamilton方程族是Liouville可积的.
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| 关 键 词： | 耦合 离散变分恒等式 Hamilton结构 Liouville可积 |
A Hierarchy of Discrete Integrable Coupling and Its Hamiltonian Structure |
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| LI Xue-hua,SHANG Wan-qun.A Hierarchy of Discrete Integrable Coupling and Its Hamiltonian Structure[J].Ludong University Journal (Natural Science Edition),2010,26(2). |
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| Authors: | LI Xue-hua SHANG Wan-qun |
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| Institution: | LI Xue-hua,SHANG Wan-qun(College of Information,Sh,ong University of Science , Technology,Qingdao 266510,China) |
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| Abstract: | A new hierarchy of coupled equations is obtained from the integrability of a discrete isospectral problem,and then its infinite dimensional Hamiltonian structures are derived by using discrete variational identity.Finally,it is shown that this hierarchy of equations is Liouville integrable. |
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| Keywords: | coupuling discrete variational identity Hamilton structure Liouville integrable |
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