A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations

doi:10.1016/j.chaos.2003.12.018

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	A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations
	Zhang, YF ; Xu, XX
	2004-07-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	21 期号:2 页码:445-456
摘要	A subalgebra of loop algebra (A) over tilde (2) is first constructed, which has its own special feature. It follows that a new Liouville integrable hierarchy of evolution equations is obtained, possessing a tri-Hamiltonian structure, which is proved by us in this paper. Especially, three symplectic operators are constructed directly from recurrence relations. The conjugate operator of a recurrence operator is a hereditary symmetry. As reduction cases of the hierarchy presented in this paper, the celebrated MKdV equation and heat-conduction equation are engendered, respectively. Therefore, we call the hierarchy a generalized MKdV-H system. At last, a high-dimension loop algebra (G) over tilde is constructed by making use of a proper scalar transformation. As a result, a type expanding integrable model of the MKdV-H system is given. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2003.12.018
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:000220150000020
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/915
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, Math Inst, Informat Sch, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 3.Shanghai Univ Sci & Technol, Dept Basic Care, Tai An 271019, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF,Xu, XX. A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations[J]. CHAOS SOLITONS & FRACTALS,2004,21(2):445-456.
APA	Zhang, YF,&Xu, XX.(2004).A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations.CHAOS SOLITONS & FRACTALS,21(2),445-456.
MLA	Zhang, YF,et al."A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations".CHAOS SOLITONS & FRACTALS 21.2(2004):445-456.