Bi-hamiltonian structure of JM hierarchy with self-consistent sources
文献类型：期刊论文
| 作者 | Zeng, YB; Zeng, YB , Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China. |
| 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 |
| ISSN号 | 0378-4371 |
| 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000077989000013 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/13196]  |
| 专题 | 理论物理研究所_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. |
入库方式： OAI收割
来源：理论物理研究所
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