a b s t r a c t Two Lie super algebras are constructed from which we establish two super-isospectral problems. Under the frame of the zero curvature equations, the super-GJ hierarchy and the super-Yang hierarchy are presented respectively. Meanwhile, their super-Hamiltonian structures are obtained b
The two generalized AKNS hierarchies and their Hamiltonian structures
โ Scribed by Baiying He; Hui Chang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 209 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
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, respectively.
๐ SIMILAR VOLUMES
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.
## 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 d