KMS Of Academy of mathematics and systems sciences, CAS
An extension of Lie algebra and a related integrable system | |
Zhang, YF; Guo, FK | |
2004-05-01 | |
Source Publication | ACTA PHYSICA SINICA |
ISSN | 1000-3290 |
Volume | 53Issue:5Pages:1276-1279 |
Abstract | A 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. |
Keyword | Lie algebra integrable system Hamiltonian structure |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Multidisciplinary |
WOS ID | WOS:000221226100002 |
Publisher | CHINESE PHYSICAL SOC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19775 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhang, YF |
Affiliation | 1.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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