KMS Of Academy of mathematics and systems sciences, CAS
| Two expanding forms of a Lie algebra and their application | |
| Yan, QY; Zhang, YF; Wei, XP | |
| 2003-06-01 | |
| Source Publication | CHINESE PHYSICS
 |
| ISSN | 1009-1963 |
| Volume | 12Issue:6Pages:581-585 |
| Abstract | With the help of a known Lie algebra, two new high order Lie algebras are constructed. It is remarkable that they have different constructing approaches. The first Lie algebra is constructed by the definition of integrable couplings, the second one by an extension of Lie algebra. Then by making use of Tu scheme, a generalized AKNS hierarchy and another new hierarchy are obtained. As a reduction case of the first hierarchy, a kind of coupled KdV equation is presented. As a reduction case of the second one, a new coupled Schrodinger equation is given. |
| Keyword | loop algebra integrable coupling Tu scheme AKNS hierarchy |
| Language | 英语 |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000183649900001 |
| Publisher | CHINESE PHYSICAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19047 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, QY |
| Affiliation | 1.Dalian Univ, Ctr Adv Design Technol, Dalian 116622, Peoples R China 2.Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 4.Shandong Univ Sci & Technol, Sch Informat Sci & Engn, Tai An 271019, Peoples R China |
| Recommended Citation GB/T 7714 | Yan, QY,Zhang, YF,Wei, XP. Two expanding forms of a Lie algebra and their application[J]. CHINESE PHYSICS,2003,12(6):581-585. |
| APA | Yan, QY,Zhang, YF,&Wei, XP.(2003).Two expanding forms of a Lie algebra and their application.CHINESE PHYSICS,12(6),581-585. |
| MLA | Yan, QY,et al."Two expanding forms of a Lie algebra and their application".CHINESE PHYSICS 12.6(2003):581-585. |
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