The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure

Based on the constructed Lie superalgebra, the super-classical-Boussinesq hierarchy is obtained. Then, its super- Hamiltonian structure is obtained by making use of super=trace identity. Furthermore, the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville.

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 7; pp. 23 - 27
Main Author 陶司兴 夏铁成
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2010
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ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/7/070202

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Summary:Based on the constructed Lie superalgebra, the super-classical-Boussinesq hierarchy is obtained. Then, its super- Hamiltonian structure is obtained by making use of super=trace identity. Furthermore, the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville.
Bibliography:Lie superalgebra, super-trace identity, super-integrable system, super-Hamiltonian structure
O175.26
O175.29
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/7/070202