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
Two super-integrable hierarchies and their super-Hamiltonian structures
โ Scribed by Sixing Tao; Tiecheng Xia
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 197 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
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 by using super-trace identity.
๐ SIMILAR VOLUMES
## 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
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.