A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system

doi:10.1143/JPSJ.73.327

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	A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system
	Li, CX
	2004-02-01
发表期刊	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN	0031-9015
卷号	73 期号:2 页码:327-331
摘要	By introducing a 4 x 4 matrix spectral problem with three potentials, A hierarchy of nonlinear evolution equations are derived. An interesting equation in the hierarchy is a coupled KdV equation. It is shown that the hierarchy possesses the generalized bi-Hamiltonian structures with the aid of the trace identity. Through the nonlinearization of eigenvalue problems, a new infinite-dimensional Hamiltonian system is presented, which is completely integrable in Liouville sense.
关键词	spectral problem Hamiltonian structure integrable systems involution
DOI	10.1143/JPSJ.73.327
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000189216200010
出版者	PHYSICAL SOC JAPAN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/985
专题	中国科学院数学与系统科学研究院
通讯作者	Li, CX
作者单位	Acad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, CX. A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2004,73(2):327-331.
APA	Li, CX.(2004).A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,73(2),327-331.
MLA	Li, CX."A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 73.2(2004):327-331.