Integrable couplings of a generalized AKNS hierarchy
文献类型：期刊论文
| 作者 | Zhang, YF; Zhang, HQ; Yan, QY |
| 刊名 | JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY
 |
| 出版日期 | 2002-09-01 |
| 卷号 | 9期号:3页码:220-223 |
| 关键词 | integrable coupling AKNS hierarchy spectral problem |
| ISSN号 | 1005-9784 |
| 英文摘要 | A generalized AKNS isospectral problem where the trace of corresponding spectral matrix is not zero, is transformed to a new isospectral problem where the trace of the resulting matrix is zero, by using transformation of Lax pairs, and these two spectral problems lead to the same hierarchy of equations. The authors started from the transformed spectral problem and constructed a new loop algebra which has not appeared before, and obtained the integrable coupling of the generalized AKNS hierarchy. Specially, the integrable couplings of the KdV equation and MKdV equation are obtained. |
| WOS研究方向 | Metallurgy & Metallurgical Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000179477000017 |
| 出版者 | JOURNAL OF CENTRAL SOUTH UNIV TECHNOLOGY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17261]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, YF |
| 作者单位 | 1.Acad Sinica, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Shandong Univ Sci & Technol, Sch Informat, Tai An 271019, Peoples R China 3.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YF,Zhang, HQ,Yan, QY. Integrable couplings of a generalized AKNS hierarchy[J]. JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,2002,9(3):220-223. |
| APA | Zhang, YF,Zhang, HQ,&Yan, QY.(2002).Integrable couplings of a generalized AKNS hierarchy.JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,9(3),220-223. |
| MLA | Zhang, YF,et al."Integrable couplings of a generalized AKNS hierarchy".JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY 9.3(2002):220-223. |
入库方式： OAI收割
来源：数学与系统科学研究院
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