An extension of Lie algebra and a related integrable system

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	An extension of Lie algebra and a related integrable system
	Zhang, YF ; Guo, FK
	2004-05-01
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	53 期号:5 页码:1276-1279
摘要	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.
关键词	Lie algebra integrable system Hamiltonian structure
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000221226100002
出版者	CHINESE PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19775
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YF
作者单位	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
推荐引用方式 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.