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题名: Bi-hamiltonian structure of JM hierarchy with self-consistent sources
作者: Zeng, YB
刊名: PHYSICA A
出版日期: 1999
卷号: 262, 期号:40972, 页码:405-419
关键词: LAX REPRESENTATION ;  RESTRICTED FLOWS ;  DEDUCTION
学科分类: Physics
通讯作者: Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.
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
英文摘要: 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000077989000013
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13196
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Zeng, YB. Bi-hamiltonian structure of JM hierarchy with self-consistent sources[J]. PHYSICA A,1999,262(40972):405-419.
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