Lie algebras and Lie super algebra for the integrable couplings of NLS–MKdV hierarchy |
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| Authors: | Huan-he Dong xinzeng wang |
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| Affiliation: | aInformation School, Shandong University of Science and Technology, Qingdao 266510, China |
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| Abstract: | 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 Hamiltonian structures of the other integrable and super-integrable systems. |
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| Keywords: | Lie algebra Lie super algebra Super-trace identity Integrable coupling Hamiltonian structure |
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