Super-KN Hierarchy and Its Super-Hamiltonian Structure

Based on the basis of the constructed Lie super algebra, the super-isospectral problem of KN hierarchy is considered. Under the frame of the zero curvature equation, the super-KN hierarchy is obtained. Furthermore, its super-Hamiltonian structure is presented by using super-trace identity and it has...

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Veröffentlicht in:Communications in theoretical physics 2011-03, Vol.55 (3), p.391-395
Hauptverfasser: Tao, Si-Xing (司兴 陶), Xia, Tie-Cheng (铁成 夏), Shi, Hui (会史)
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Sprache:eng
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Zusammenfassung:Based on the basis of the constructed Lie super algebra, the super-isospectral problem of KN hierarchy is considered. Under the frame of the zero curvature equation, the super-KN hierarchy is obtained. Furthermore, its super-Hamiltonian structure is presented by using super-trace identity and it has super-bi-Hamiltonian structure.
ISSN:0253-6102
DOI:10.1088/0253-6102/55/3/03