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An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system
Zhang, YF
2003-11-01
Source PublicationCHINESE PHYSICS
ISSN1009-1963
Volume12Issue:11Pages:1194-1201
AbstractA subalgebra of loop algebra (A) over tilde (2) is established. Therefore, a new isospectral problem is designed. By making use of Tu's scheme, a new integrable system is obtained, which possesses bi-Hamiltonian structure. As its reductions, a formalism similar to the well-known Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a generalized standard form of the Schrodinger equation are presented. In addition, in order for a kind of expanding integrable system to be obtained, a proper algebraic transformation is supplied to change loop algebra (A) over tilde (2) into loop algebra (A) over tilde (1). Furthermore, a high-dimensional loop algebra is constructed, which is different from any previous one. An integrable coupling of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.
Keywordloop algebra integrable system Hamiltonian structure constrained flow
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000186479200002
PublisherCHINESE PHYSICAL SOC
Citation statistics
Cited Times:24[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18032
Collection中国科学院数学与系统科学研究院
Affiliation1.Shandong Univ Sci & Technol, Informat Sci, Math Inst, Tai An 271019, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, YF. An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system[J]. CHINESE PHYSICS,2003,12(11):1194-1201.
APA Zhang, YF.(2003).An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system.CHINESE PHYSICS,12(11),1194-1201.
MLA Zhang, YF."An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system".CHINESE PHYSICS 12.11(2003):1194-1201.
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