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李柱, 张玉娟. 一族可积系及其可积耦合(英文)[J]. 信阳师范学院学报(自然科学版), 2009, 22(4): 493-496.
引用本文: 李柱, 张玉娟. 一族可积系及其可积耦合(英文)[J]. 信阳师范学院学报(自然科学版), 2009, 22(4): 493-496.
shu
LI Zhu, ZHANG Yu-juan. An Integrable System and its Integrable Coupling[J]. Journal of Xinyang Normal University (Natural Science Edition), 2009, 22(4): 493-496.
Citation: LI Zhu, ZHANG Yu-juan. An Integrable System and its Integrable Coupling[J]. Journal of Xinyang Normal University (Natural Science Edition), 2009, 22(4): 493-496.
shu

一族可积系及其可积耦合(英文)

An Integrable System and its Integrable Coupling

    摘要
  • 摘要: 基于离散等谱问题得到了一族具有双哈密顿结构的Liouville可积系,然后利用半直和的方法得到了其可积耦合系统.

     

    Abstract: A hierarchy of integrable discrete equations is derived based on discrete isospectral problem.It is shown that the hierarchy is completely integrable in the Liouville sense and possesses bi-Hamiltonian structure.Then,integrable couplings of the obtained system is given by means of semi-direct sums of Lie algebras.

     

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