An extension of Lie algebra and a related integrable system
Zhang, YF; Guo, FK
AbstractA direct extension of the known Lie algebra A(n-1) is presented, a new Lie algebra gl( n, C) is obtained. For the sake of application convenience, Lie algebra gl(3, C) is only considered, whose subalgebra is constructed. By the definition of the subalgebra gradation, a new loop algebra is shown. As its application, an isospectral problem is designed. It follows that a new Lax pair is obtained. By making use of Tu scheme, a family of new Liouville integrable system is presented, which possesses a bi-Hamiltonian structure. As the reduction case of the hierarchy obtained, a new coupled generalized Schrodinger equation is obtained.
KeywordLie algebra integrable system Hamiltonian structure
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000221226100002
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Document Type期刊论文
Corresponding AuthorZhang, YF
Affiliation1.Shandong Univ Sci & Technol, Informat Sch, Inst Math, Tai An 271019, Peoples R China
2.Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, YF,Guo, FK. An extension of Lie algebra and a related integrable system[J]. ACTA PHYSICA SINICA,2004,53(5):1276-1279.
APA Zhang, YF,&Guo, FK.(2004).An extension of Lie algebra and a related integrable system.ACTA PHYSICA SINICA,53(5),1276-1279.
MLA Zhang, YF,et al."An extension of Lie algebra and a related integrable system".ACTA PHYSICA SINICA 53.5(2004):1276-1279.
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