KMS Of Academy of mathematics and systems sciences, CAS
An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system | |
Zhang, YF | |
2003-11-01 | |
Source Publication | CHINESE PHYSICS |
ISSN | 1009-1963 |
Volume | 12Issue:11Pages:1194-1201 |
Abstract | A subalgebra of loop algebra (A) over tilde (2) is established. Therefore, a new isospectral problem is designed. By making use of Tu's scheme, a new integrable system is obtained, which possesses bi-Hamiltonian structure. As its reductions, a formalism similar to the well-known Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a generalized standard form of the Schrodinger equation are presented. In addition, in order for a kind of expanding integrable system to be obtained, a proper algebraic transformation is supplied to change loop algebra (A) over tilde (2) into loop algebra (A) over tilde (1). Furthermore, a high-dimensional loop algebra is constructed, which is different from any previous one. An integrable coupling of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented. |
Keyword | loop algebra integrable system Hamiltonian structure constrained flow |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Multidisciplinary |
WOS ID | WOS:000186479200002 |
Publisher | CHINESE PHYSICAL SOC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/18032 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.Shandong Univ Sci & Technol, Informat Sci, Math Inst, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Zhang, YF. An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system[J]. CHINESE PHYSICS,2003,12(11):1194-1201. |
APA | Zhang, YF.(2003).An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system.CHINESE PHYSICS,12(11),1194-1201. |
MLA | Zhang, YF."An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system".CHINESE PHYSICS 12.11(2003):1194-1201. |
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