中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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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