李柱. 一族离散的刘维尔可积系及其耦合系统[J]. 信阳师范学院学报(自然科学版), 2018, 31(4): 525-529. DOI: 10.3969/j.issn.1003-0972.2018.04.003
引用本文: 李柱. 一族离散的刘维尔可积系及其耦合系统[J]. 信阳师范学院学报(自然科学版), 2018, 31(4): 525-529. DOI: 10.3969/j.issn.1003-0972.2018.04.003
LI Zhu. A Hierarchy of Discrete Liouville Integrable System and Its Coupling System[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(4): 525-529. DOI: 10.3969/j.issn.1003-0972.2018.04.003
Citation: LI Zhu. A Hierarchy of Discrete Liouville Integrable System and Its Coupling System[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(4): 525-529. DOI: 10.3969/j.issn.1003-0972.2018.04.003

一族离散的刘维尔可积系及其耦合系统

A Hierarchy of Discrete Liouville Integrable System and Its Coupling System

  • 摘要: 利用屠格式的方法得到了一族刘维尔可积系,验证了其具有双哈密顿结构,并借助李代数的半直和方法构造了其可积耦合系统.

     

    Abstract: A Hierarchy of discrete Liouville integrable system is derived by use of Tu scheme. It is proved that it possesses bi-Hamiltonian structure. Then, the integrable couplings of the obtained system is constructed by virtue of semi-direct sums of Lie algebras

     

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