Two expanding forms of a Lie algebra and their application

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	Two expanding forms of a Lie algebra and their application
	Yan, QY ; Zhang, YF ; Wei, XP
	2003-06-01
发表期刊	CHINESE PHYSICS
ISSN	1009-1963
卷号	12 期号:6 页码:581-585
摘要	With the help of a known Lie algebra, two new high order Lie algebras are constructed. It is remarkable that they have different constructing approaches. The first Lie algebra is constructed by the definition of integrable couplings, the second one by an extension of Lie algebra. Then by making use of Tu scheme, a generalized AKNS hierarchy and another new hierarchy are obtained. As a reduction case of the first hierarchy, a kind of coupled KdV equation is presented. As a reduction case of the second one, a new coupled Schrodinger equation is given.
关键词	loop algebra integrable coupling Tu scheme AKNS hierarchy
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000183649900001
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/19047
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, QY
作者单位	1.Dalian Univ, Ctr Adv Design Technol, Dalian 116622, Peoples R China 2.Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 4.Shandong Univ Sci & Technol, Sch Informat Sci & Engn, Tai An 271019, Peoples R China
推荐引用方式 GB/T 7714	Yan, QY,Zhang, YF,Wei, XP. Two expanding forms of a Lie algebra and their application[J]. CHINESE PHYSICS,2003,12(6):581-585.
APA	Yan, QY,Zhang, YF,&Wei, XP.(2003).Two expanding forms of a Lie algebra and their application.CHINESE PHYSICS,12(6),581-585.
MLA	Yan, QY,et al."Two expanding forms of a Lie algebra and their application".CHINESE PHYSICS 12.6(2003):581-585.