Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures

We construct nonlinear super integrable couplings of the super integrable Dirac hierarchy based on an enlarged matrix Lie superalgebra. Then its super Hamiltonian structure is furnished by super trace identity. As its reduction, we gain the nonlinear integrable couplings of the classical integrable...

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Published inCommunications in theoretical physics Vol. 57; no. 6; pp. 961 - 966
Main Author 尤福财
Format Journal Article
LanguageEnglish
Published 01.06.2012
Subjects
Construction
Couplings
Expansion
Gain
Hamilton结构
Hierarchies
Nonlinearity
Reduction
Theoretical physics
可积耦合
哈密顿结构
李超代数
狄拉克
超痕量
超积
非线性
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ISSN0253-6102
DOI10.1088/0253-6102/57/6/06

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Summary:We construct nonlinear super integrable couplings of the super integrable Dirac hierarchy based on an enlarged matrix Lie superalgebra. Then its super Hamiltonian structure is furnished by super trace identity. As its reduction, we gain the nonlinear integrable couplings of the classical integrable Dirac hierarchy.
Bibliography:YOU Fu-Cai Department of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, China
We construct nonlinear super integrable couplings of the super integrable Dirac hierarchy based on an enlarged matrix Lie superalgebra. Then its super Hamiltonian structure is furnished by super trace identity. As its reduction, we gain the nonlinear integrable couplings of the classical integrable Dirac hierarchy.
Lie superalgebra, nonlinear super integrable couplings, super Dirac hierarchy, super Hamiltonian structures
11-2592/O3
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-6102
DOI:10.1088/0253-6102/57/6/06