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A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy

✍ Scribed by Guo-cheng Wu; Sheng Zhang

Book ID
113851631
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
160 KB
Volume
375
Category
Article
ISSN
0375-9601

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πŸ“œ SIMILAR VOLUMES

The two generalized AKNS hierarchies and
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✍ Baiying He; Hui Chang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 209 KB

## a b s t r a c t With the help of the known Lie algebra G 1 and a new Lie algebra G 2 , the two different isospectral problem are designed. Making use of the zero curvature equation and the tri-trace identity, the two generalized AKNS hierarchies and their Hamiltonian structures are obtained, res

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The double integrable couplings of the Tu hierarchy are worked out by use of Vector loop algebras G 6 and G 9 respectively. Also the Hamiltonian structures of the obtained system are given by the quadratic-form identity.

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✍ xin-zeng Wang; xi-kui Liu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 188 KB

Two different Lie super-algebras are constructed which establish two isospectral problems. Under the frame of the zero curvature equations, the corresponding super-integrable hierarchies of the Tu-hierarchy are obtained. By making use of the super-trace identity, the super-Hamiltonian structures of