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

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	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
Source Publication	PHYSICA A
Keyword	Lax Representation Restricted Flows Deduction
Abstract	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.
	1999
ISSN	0378-4371
Volume	262 Issue:40972 Pages:405-419
Subject Area	Physics
Indexed By	SCI
Citation statistics	Cited Times:22[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/13196
Collection	理论物理所科研产出_SCI论文
Corresponding Author	Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.
Recommended Citation 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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