A type of expanding integrable system for NLS-mKdV hierarchy
文献类型：期刊论文
| 作者 | Zhang, YF; Yan, QY |
| 刊名 | ACTA PHYSICA SINICA
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 52期号:9页码:2109-2113 |
| 关键词 | loop algebra integrable system isospectral problem |
| ISSN号 | 1000-3290 |
| 英文摘要 | A subalgerbra (A) over bar (1), which is equivalent to the subalgebra of the loop algebra (A) over tilde (2) in "1997 Acta Math. Sin. 40 801", is constructed by making use of algebraic transformation. Then a high-dimensional loop algebra (G) over tilde is presented in terms of (A) over bar (1). An isospectral problem is established following (G) over tilde by the use of direct sum operators and isomorphic relations among subalgebras. It follows that a type of expanding integrable system for the NLS-mKdV hierarchy of evolution equations is obtained. As in reduction cases, the integrable couplings of the famous Schrodinger equation and mKdV equation are presented. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185237300002 |
| 出版者 | CHINESE PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18574]  |
| 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.Shandong Univ Sci & Technol, Informat Sch, Math Inst, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 3.Shandong Finance Coll, Dept Econ & Stat, Tinan 250014, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YF,Yan, QY. A type of expanding integrable system for NLS-mKdV hierarchy[J]. ACTA PHYSICA SINICA,2003,52(9):2109-2113. |
| APA | Zhang, YF,&Yan, QY.(2003).A type of expanding integrable system for NLS-mKdV hierarchy.ACTA PHYSICA SINICA,52(9),2109-2113. |
| MLA | Zhang, YF,et al."A type of expanding integrable system for NLS-mKdV hierarchy".ACTA PHYSICA SINICA 52.9(2003):2109-2113. |
入库方式： OAI收割
来源：数学与系统科学研究院
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