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A type of new integrable hierarchy and its expanding integrable system

✍ Scribed by Qingyou Yan; Yufeng Zhang; Xiaopeng Wei

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
112 KB
Volume
19
Category
Article
ISSN
0960-0779

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✦ Synopsis

A new isospectral problem is designed by considering a subalgebra A 1 of loop algebra e A A 1 , which possesses two power gaps of spectral parameter k. It follows that a new type of integrable system is obtained by choosing suitable modified term and Tu-model, which has bi-Hamiltonian structure. Furthermore, constructing a new five-dimensional loop algebra e G G gives rise to a kind of expanding integrable system of the obtained system.

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