Bi-hamiltonian structure of JM hierarchy with self-consistent sources

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	Bi-hamiltonian structure of JM hierarchy with self-consistent sources
	Zeng, YB; Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.
	1999
发表期刊	PHYSICA A
ISSN	0378-4371
卷号	262 期号:40972 页码:405-419
摘要	By taking the space variable x as the evolution parameter and introducing the Jacobi-Ostrogradiski coordinates, we present t-type hamiltonian description of soliton equations with self-consistent sources which have not x-type hamiltonian formulation when considering t as evolution parameter. The t-type Miura map generates the second hamiltonian structure for these t-type hamiltonian systems. The two compatible hamiltonian operators are used to construct a hereditary operator and to obtain new hierarchies of infinite-dimensional integrable Hamiltonian systems. The reduction of these equations with sources gives rise to the constrained flows of soliton equations and their bi-hamiltonian structure. We use the Jaulent-Miodek hierarchy with self-consistent sources to illustrate the method. (C) 1999 Elsevier Science B.V. All rights reserved.
部门归属	Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词	Lax Representation Restricted Flows Deduction
学科领域	Physics
URL	查看原文
收录类别	SCI
WOS记录号	WOS:000077989000013
引用统计	被引频次：22[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/13196
专题	理论物理所1978-2010年知识产出
通讯作者	Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.
推荐引用方式 GB/T 7714	Zeng, YB,Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.. Bi-hamiltonian structure of JM hierarchy with self-consistent sources[J]. PHYSICA A,1999,262(40972):405-419.
APA	Zeng, YB,&Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China..(1999).Bi-hamiltonian structure of JM hierarchy with self-consistent sources.PHYSICA A,262(40972),405-419.
MLA	Zeng, YB,et al."Bi-hamiltonian structure of JM hierarchy with self-consistent sources".PHYSICA A 262.40972(1999):405-419.

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