A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system
文献类型：期刊论文
| 作者 | Li, CX |
| 刊名 | JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 73期号:2页码:327-331 |
| 关键词 | spectral problem Hamiltonian structure integrable systems involution |
| ISSN号 | 0031-9015 |
| DOI | 10.1143/JPSJ.73.327 |
| 英文摘要 | By introducing a 4 x 4 matrix spectral problem with three potentials, A hierarchy of nonlinear evolution equations are derived. An interesting equation in the hierarchy is a coupled KdV equation. It is shown that the hierarchy possesses the generalized bi-Hamiltonian structures with the aid of the trace identity. Through the nonlinearization of eigenvalue problems, a new infinite-dimensional Hamiltonian system is presented, which is completely integrable in Liouville sense. |
| 语种 | 英语 |
| WOS记录号 | WOS:000189216200010 |
| 出版者 | PHYSICAL SOC JAPAN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/984]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, CX |
| 作者单位 | Acad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, CX. A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2004,73(2):327-331. |
| APA | Li, CX.(2004).A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,73(2),327-331. |
| MLA | Li, CX."A hierarchy of coupled Korteweg-de Vries equations and the corresponding finite-dimensional integrable system".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 73.2(2004):327-331. |
入库方式： OAI收割
来源：数学与系统科学研究院
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