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

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 415-422.

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

College of Mathematics and Information Science,Xinyang Normal University

Received:2007-12-10 Online:2008-09-30 Published:2023-09-22
About author:JIANG Xiao-wu(1963- ), female, native of Xinyang, Henan, an associate professor of Xinyang Normal University, M.S.D., engages in differential equation; LI Zhu(1981- ), male, native of Heze, Shandong, teaching assistant of Xinyang Normal University, M.S.D., engages in soliton theory and integrable system.

Abstract

Abstract:

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.

Key words: KN hierarchy, integrable couplings, quadratic-form identity, Hamiltonian
structure

CLC Number:

O175.29

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): 415-422.

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

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