Two types of new Lie algebras and corresponding hierarchies of evolution equations

doi:10.1016/S0375-9601(03)00165-8

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	Two types of new Lie algebras and corresponding hierarchies of evolution equations
	Zhang, YF
	2003-04-07
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	310 期号:1 页码:19-24
摘要	An 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.
关键词	lie algebra loop algebra integrable system
DOI	10.1016/S0375-9601(03)00165-8
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000182088400004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18987
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.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
推荐引用方式 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.