| 多分量的KN族与可积耦合及其它们的哈密顿结构 |
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| 引用本文： | 江晓武,李柱. 多分量的KN族与可积耦合及其它们的哈密顿结构[J]. 数学季刊, 2008, 23(3) |
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| 作者姓名： | 江晓武 李柱 |
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| 摘 要： |
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| 关 键 词： | 多分量 KN族 可积耦合 哈密顿结构 |
Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure |
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| JIANG Xiao-wu LI Zhu. Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3) |
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| Authors: | JIANG Xiao-wu LI Zhu |
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| Affiliation: | College of Mathematics and Information Science, Xinyang Normal University, Xinyang, 464000, China |
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| Abstract: | 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. |
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| Keywords: | KN hierarchy integrable couplings quadratic-form identity Hamiltonian structure |
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