ITP OpenIR  > 理论物理所1978-2010年知识产出
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
ISSN0378-4371
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.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Bi-hamiltonian struc(119KB) 开放获取使用许可请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Zeng, YB]的文章
[Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.]的文章
百度学术
百度学术中相似的文章
[Zeng, YB]的文章
[Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.]的文章
必应学术
必应学术中相似的文章
[Zeng, YB]的文章
[Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China.]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。