A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system

doi:10.1016/j.physleta.2006.05.084

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	A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system
	Sun, Ye-Peng ; Chen, Deng-Yuan ; Xu, Xi-Xiang
	2006-11-06
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	359 期号:1 页码:47-51
摘要	A hierarchy of nonlinear differential-difference equations is derived from a new discrete spectral problem. The Hamiltonian structure of the resulting hierarchy is constructed by means of a trace identity formula. Moreover, a new Bargmann type integrable system associated with the hierarchy is presented by applying the binary nonlinearization approach of Lax pairs. Based on the symmetry constraints and the generating function of integrals of motion, the resulting system is further proved to be completely integrable Hamiltonian system in the Liouville sense. (c) 2006 Elsevier B.V. All rights reserved.
关键词	differential-difference equation Hamiltonian structure binary nonlinearization Liouville integrability
DOI	10.1016/j.physleta.2006.05.084
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000242252700010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2843
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Ye-Peng
作者单位	1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 3.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China
推荐引用方式 GB/T 7714	Sun, Ye-Peng,Chen, Deng-Yuan,Xu, Xi-Xiang. A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system[J]. PHYSICS LETTERS A,2006,359(1):47-51.
APA	Sun, Ye-Peng,Chen, Deng-Yuan,&Xu, Xi-Xiang.(2006).A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system.PHYSICS LETTERS A,359(1),47-51.
MLA	Sun, Ye-Peng,et al."A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system".PHYSICS LETTERS A 359.1(2006):47-51.