An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system

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	An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system
	Zhang, YF
	2003-11-01
发表期刊	CHINESE PHYSICS
ISSN	1009-1963
卷号	12 期号:11 页码:1194-1201
摘要	A subalgebra of loop algebra (A) over tilde (2) is established. Therefore, a new isospectral problem is designed. By making use of Tu's scheme, a new integrable system is obtained, which possesses bi-Hamiltonian structure. As its reductions, a formalism similar to the well-known Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a generalized standard form of the Schrodinger equation are presented. In addition, in order for a kind of expanding integrable system to be obtained, a proper algebraic transformation is supplied to change loop algebra (A) over tilde (2) into loop algebra (A) over tilde (1). Furthermore, a high-dimensional loop algebra is constructed, which is different from any previous one. An integrable coupling of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.
关键词	loop algebra integrable system Hamiltonian structure constrained flow
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000186479200002
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/18032
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 Sci, Math Inst, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF. An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system[J]. CHINESE PHYSICS,2003,12(11):1194-1201.
APA	Zhang, YF.(2003).An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system.CHINESE PHYSICS,12(11),1194-1201.
MLA	Zhang, YF."An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system".CHINESE PHYSICS 12.11(2003):1194-1201.