A family of S-mKdV hierarchy of equations and its expanding integrable models
文献类型：期刊论文
| 作者 | Zhang, YF; Yan, QY; Zhang, HQ |
| 刊名 | ACTA PHYSICA SINICA
 |
| 出版日期 | 2003 |
| 卷号 | 52期号:1页码:5-11 |
| 关键词 | loop algebra Hamiltonian structure expanding integrable model Schrodinger equation mKdV equation |
| ISSN号 | 1000-3290 |
| 英文摘要 | Starting from a subalgebra of loop algebra (A) over tilde (1) we construct a linear isospectral problem. A type of Liouville integrable system and its bi-Hamiltonian structure are presented by the use-of Tu-model again. The reductions to the integrable system give rise to the well-known Schrodinger equation and mKdV equation. Therefore, the system is called S-mKdV hierarchy. In terms of the subalgebra of (A) over tilde (1), constructed, we also construct a new subalgebra (G) over tilde of loop algebra (A) over tilde (2), with five dimensions, from which a linear isospectral form is designed. Again, using Tu-model one obtains a type of expanding integrable models of the S-mKdV hierarchy. Some expanding integrable models of hierarchies, such as BPT hierarchy, TB hierarchy etc. are also obtained by using this method. Hence, the method proposed in this paper has important applications generally. Finally as special cases, the integrable couplings of the well-known Schrodinger equation and mKdV equation are obtained. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000180915400002 |
| 出版者 | CHINESE PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18130]  |
| 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, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China 4.Dalian Univ, Ctr Adv Design Technol, Dalian 116622, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YF,Yan, QY,Zhang, HQ. A family of S-mKdV hierarchy of equations and its expanding integrable models[J]. ACTA PHYSICA SINICA,2003,52(1):5-11. |
| APA | Zhang, YF,Yan, QY,&Zhang, HQ.(2003).A family of S-mKdV hierarchy of equations and its expanding integrable models.ACTA PHYSICA SINICA,52(1),5-11. |
| MLA | Zhang, YF,et al."A family of S-mKdV hierarchy of equations and its expanding integrable models".ACTA PHYSICA SINICA 52.1(2003):5-11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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