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多分量的KN族与可积耦合及其它们的哈密顿结构

作者:admin | 日期:2025-08-26
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多分量的KN族与可积耦合及其它们的哈密顿结构

Firstly,a vector loop algebra (~G)3 is constructed,by use of it multi-component KN hierarchy is obtained.Further,by taking advantage of the extending vector loop algebras (~G)6 and (~G)9 of (~G)3 the double integrable couplings of the multi-component KN hierarchy are worked out respectively.Finally,Hamiltonian structures of obtained system are given by quadratic-form identity.

作 者: 江晓武 李柱 JIANG Xiao-wu LI Zhu   作者单位: College of Mathematics and Information Science,Xinyang Normal University,Xinyang,464000,China  刊 名: 数学季刊(英文版)  ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年,卷(期): 2008 23(3)  分类号: O175  关键词: KN hierarchy   integrable couplings   quadratic-form identity   Hamiltonian structure  

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