Applications of an anti-symmetry loop algebra and its expanding forms

doi:10.1016/j.chaos.2003.12.015

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	Applications of an anti-symmetry loop algebra and its expanding forms
	Zhang, YF ; Yan, QY
	2004-07-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	21 期号:2 页码:413-423
摘要	Constructing an anti-symmetry subalgebra (A) over tilde (2) of loop algebra (A) over tilde (2) gives the well-known Jaulent-Miodek (JM) hierarchy, the JM equation and its new Lax pair. Further, the Darboux transformation of the JM equation is deduced by anstaz method. By making use of a high-order loop algebra and Tu scheme, an expanding integrable model of the JM hierarchy is obtained. A direct expansion (A) over tilde (2) of loop algebra (A) over tilde (2) by considering the definition of Lie algebra is presented, which is used to establish two isospectral problems. It follows that corresponding two new integrable systems are engendered, which possess bi-Hamiltonian structures, respectively. Furthermore, a scalar transformation is applied to turn the loop algebra (A) over bar (*)(2) into its equivalent subalgebra (A) over tilde (1) of loop algebra (A) over tilde (1). With the help of (A) over tilde (1) another new high-order loop algebra G is constructed, which is used to obtain an expanding integrable model of one of two integrable systems presented. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2003.12.015
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:000220150000017
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/627
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 Sci & Engn, Tai An, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Computat Mech, Beijing 100080, Peoples R China 3.Shandong Finance Inst, Dept Ecol & Stat, Jinan 250014, Peoples R China 4.Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF,Yan, QY. Applications of an anti-symmetry loop algebra and its expanding forms[J]. CHAOS SOLITONS & FRACTALS,2004,21(2):413-423.
APA	Zhang, YF,&Yan, QY.(2004).Applications of an anti-symmetry loop algebra and its expanding forms.CHAOS SOLITONS & FRACTALS,21(2),413-423.
MLA	Zhang, YF,et al."Applications of an anti-symmetry loop algebra and its expanding forms".CHAOS SOLITONS & FRACTALS 21.2(2004):413-423.