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Matrix Lie Algebras and Integrable Couplings

Three kinds of higher-dimensional Lie algebras are given which can be used to directly construct integrable couplings of the soliton integrable systems. The relations between the Lie algebras are discussed. Finally, the integrable couplings and the Hamiltonian structure of Giachetti-Johnson hierarch...

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Bibliographic Details
Published in:Communications in theoretical physics 2006-11, Vol.46 (5), p.812-818
Main Author: ZHANG Yu-Feng GUO Fu-Kui
Format: Article
Language:English
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Summary:Three kinds of higher-dimensional Lie algebras are given which can be used to directly construct integrable couplings of the soliton integrable systems. The relations between the Lie algebras are discussed. Finally, the integrable couplings and the Hamiltonian structure of Giachetti-Johnson hierarchy and a new integrable system are obtained, respectively.
ISSN:0253-6102
DOI:10.1088/0253-6102/46/5/009