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Two types of Lie super-algebra for the super-integrable Tu-hierarchy and its super-Hamiltonian structure

✍ Scribed by xin-zeng Wang; xi-kui Liu

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 188 KB
Volume: 15
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.09.008

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✦ Synopsis

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 the above integrable hierarchies are generated, which are Liouville integrable.

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✍ Huan-he Dong; xinzeng wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 197 KB

a b s t r a c t Lie algebras and Lie super algebra are constructed and integrable couplings of NLS-MKdV hierarchy are obtained. Furthermore, its Hamiltonian and Super-Hamiltonian are presented by using of quadric-form identity and super-trace identity. The method can be used to produce the Hamiltoni