CSpace
An extension of Lie algebra and a related integrable system
Zhang, YF; Guo, FK
2004-05-01
Source PublicationACTA PHYSICA SINICA
ISSN1000-3290
Volume53Issue:5Pages:1276-1279
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
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000221226100002
PublisherCHINESE PHYSICAL SOC
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19775
Collection中国科学院数学与系统科学研究院
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhang, YF]'s Articles
[Guo, FK]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang, YF]'s Articles
[Guo, FK]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang, YF]'s Articles
[Guo, FK]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.