An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system

doi:10.1016/S0960-0779(03)00057-2

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	An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system
	Zhang, YF
	2003-11-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	18 期号:4 页码:855-862
摘要	A new subalgebra of loop algebra (A) over tilde (2) is first constructed. It follows that an isospectral problem is established. Using Tu-pattern gives rise to a new integrable hierarchy, which possesses bi-Hamiltonian structure. As its reduction cases, the well-known standard Schrodinger equation and MKdV equation are presented, respectively. Furthermore, by making use of bi-symmetry constraints, generalized Hamiltonian regular representations for the hierarchy are obtained. At last, we obtain an expanding integrable system of this hierarchy by applying a scalar transformation between two isospectral problems and constructing a five-dimensional loop algebra (G) over tilde. In particular, the expanding integrable models of Schrodinger equation and MKdV equation are presented, respectively. (C) 2003 Elsevier Science Ltd. All rights reserved.
DOI	10.1016/S0960-0779(03)00057-2
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000183810200023
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19095
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Shandong Univ Sci & Technol, Inst Math, Tai An 271019, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF. An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system[J]. CHAOS SOLITONS & FRACTALS,2003,18(4):855-862.
APA	Zhang, YF.(2003).An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system.CHAOS SOLITONS & FRACTALS,18(4),855-862.
MLA	Zhang, YF."An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system".CHAOS SOLITONS & FRACTALS 18.4(2003):855-862.