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Two types of new Lie algebras and corresponding hierarchies of evolution equations
Zhang, YF
2003-04-07
Source PublicationPHYSICS LETTERS A
ISSN0375-9601
Volume310Issue:1Pages:19-24
AbstractAn extension of Lie algebra A(n-1) is proposed. As special cases, two new loop algebras are constructed, respectively. It follows that two types of new integrable Hamiltonian hierarchies are engendered. As their reduction cases, generalized nonlinear Schrodinger equations, coupled Fisher equations, the standard heat-conduction equation are obtained, respectively. This method proposed in this Letter can be used generally. (C) 2003 Published by Elsevier Science B.V.
Keywordlie algebra loop algebra integrable system
DOI10.1016/S0375-9601(03)00165-8
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000182088400004
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18987
Collection中国科学院数学与系统科学研究院
Affiliation1.Shanghai Univ Sci & Technol, Sch Informat, Math Inst, 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. Two types of new Lie algebras and corresponding hierarchies of evolution equations[J]. PHYSICS LETTERS A,2003,310(1):19-24.
APA Zhang, YF.(2003).Two types of new Lie algebras and corresponding hierarchies of evolution equations.PHYSICS LETTERS A,310(1),19-24.
MLA Zhang, YF."Two types of new Lie algebras and corresponding hierarchies of evolution equations".PHYSICS LETTERS A 310.1(2003):19-24.
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