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New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy

✍ Scribed by Yufeng Zhang; Honwah Tam

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
178 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis

Two new loop algebras e

F and e G are constructed, which are devoted to establishing the resulting isospectral problems. By taking use of the compatibility of Lax pairs, the two corresponding zero curvature equations are presented from which the integrable couplings of the KN hierarchy and the dispersive long wave hierarchy (briefly called DLW hierarchy). As far as we can see, the above results are new. Again via employing the quadratic identity, the Hamiltonian structures of the two well-known integrable systems are obtained, respectively, and they are Liouville integrable.

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