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Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure

Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure

作     者:JIANG Xiao-wu LI Zhu JIANG Xiao-wu;LI Zhu

作者机构:College of Mathematics and Information Science Xinyang Normal University Xinyang 464000 China 

出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))

年 卷 期:2008年第23卷第3期

页      面:415-422页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主  题:KN hierarchy integrable couplings quadratic-form identity Hamiltonian structure 

摘      要:Firstly, a vector loop algebra G3 is constructed, by use of it multi-component KN hierarchy is obtained. Further, by taking advantage of the extending vector loop algebras G6 and G9 of G3 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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