An Algebraic System and Its Application

An Algebraic System and Its Application

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摘要 An algebraic system X is constructed by using the known loop .A1. Then a new isospectral problem is established by taking advantage of X, which is devoted to working out the well-known Volterra lattice hierarchy. And an extended algebraic system X of X is presented, from which the integrable coupling systems of the Volterra lattice is obtained. An algebraic system X is constructed by using the known loop .A1. Then a new isospectral problem is established by taking advantage of X, which is devoted to working out the well-known Volterra lattice hierarchy. And an extended algebraic system X of X is presented, from which the integrable coupling systems of the Volterra lattice is obtained.

作者 WEI Yuan ZHANG Yu-feng

机构地区 Department of Mathematics and Information School of Information Science and Engineering

出处《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第1期211-216,共6页 数学研究与评论（英文版）

关键词 algebraic system Volterra lattice hierarchy integrable coupling system. algebraic system Volterra lattice hierarchy integrable coupling system.

分类号 O157.1 [理学—基础数学]

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1屠规彰,孟大志.THE TRACE IDENTITY, A POWERFUL TOOL FOR CONSTRUCTING THE HAMILTONIAN STRUCTURE OF INTEGRABLE SYSTEMS (Ⅱ)[J].Acta Mathematicae Applicatae Sinica,1989,5(1):89-96. 被引量：118

共引文献117

1张玉峰,张鸿庆,闫庆友.Integrable couplings of a generalized AKNS hierarchy[J].Journal of Central South University of Technology,2002,9(3):220-223.
2李玉青,赵秋兰.一族离散可积系统及其Hamilton结构[J].鲁东大学学报（自然科学版）,2008,24(4):292-295.
3Wencai Zhao (College of Science, Shandong University of Science and Technology, Qingdao 266510, Shandong) Ling Li (College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong).TWO CLASSES OF INTEGRABLE COUPLING FOR AKNS HIERARCHY[J].Annals of Differential Equations,2009,25(4):495-501.
4Yong Fang1,2,3, Yijun Hou1,2 , Huanhe Dong4, Jianhai Xue5 (1. Institute of Oceanology, Chinese Academy of Science, Qingdao 266071, Shandong,2. Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Science, Qingdao 266071,3. Graduate University of Chinese Academy of Science, Beijing 100039,4. Information School, Shandong University of Science and Technology, Qingdao 266510,5. Thermoelectric Gas Company in Qingdao Development Zone, Qingdao 266555).NEW SUPER-HAMILTONIAN STRUCTURES OF SUPER-DIRAC HIERARCHY[J].Annals of Differential Equations,2012,28(2):164-169.
5Zhu Li,Xiaoshuang Sheng.PERTURBATION EQUATION OF DLW HIERARCHY AND ITS HAMILTONIAN STRUCTURE[J].Annals of Differential Equations,2013,29(1):51-55.
6徐西祥,杨洪祥.Dirac方程族的N-波达布变换与精确解[J].山东科技大学学报（自然科学版）,2004,23(3):73-76.
7赵晶,赵兴鹏.一个新的Lie代数及其应用[J].山东科技大学学报（自然科学版）,2004,23(3):80-83.
8董焕河,赵义军,孔令臣,张宁.一个新的方程族及其Liouville可积性[J].烟台师范学院学报（自然科学版）,2004,20(4):246-249. 被引量：1
9YangHongxiang,XuXixiang.HAMILTONIAN STRUCTURE AND INFINITE NUMBER OF CONSERVATION LAWS FOR THE COUPLED DISCRETE KdV EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),2004,19(4):374-380.
10张玉峰.一个Lie代数的子代数及其相关的两类Loop代数[J].数学学报（中文版）,2005,48(1):141-152. 被引量：10

1曹志强.SEVERAL RESULTS ON IDEAL THEORY OF ALGEBRAIC SYSTEM SLOPE[J].Chinese Science Bulletin,1984,29(2).
2张树功,刘颖,冯果忱.The Multiplicity of Zeros of Algebraic System in Eigenvalue Method[J].Journal of Computer Science & Technology,1999,14(5):510-517.
3刘文斌.A COMMON METHOD TO FUZZIFY NONFUZZY CONCEPT AND FUZZY ALGEBRAIC SYSTEM[J].Chinese Science Bulletin,1987,32(8).
4ZHU Jia-gui.THE CORRESPONDENCE THEOREM FOR COALGEBRAS[J].巢湖学院学报,2014,16(3):1-3.
5刘一戎,肖萍.Critical point quantities and integrability conditions for a class of quintic systems[J].Journal of Central South University of Technology,2004,11(1):109-112.
6ZHOUZhen－Jiang LIZhi－Bin.A unified Explicit Construction of 2N—Solition Solutions for Evolution Equations Determined by 2×2 AKNS System[J].Communications in Theoretical Physics,2003,39(3):257-260.
7XIAO ShuiJing,ZENG GuangXing.Determination of the limits for multivariate rational functions[J].Science China Mathematics,2014,57(2):397-416.
8FAN En-Gui.A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation[J].Communications in Theoretical Physics,2001(10):401-404. 被引量：3
9Duan Huoyuan Institute ofCom putationalMathem atics and Scientific/Engineering Com putation,Chinese Academ y of Sci- ences,Beijing 100080..NONCONFORMING STABILIZED FINITE ELEM ENTMETHODS BASED ON RIESZ-REPRESENTING OPERATORS[J].Applied Mathematics(A Journal of Chinese Universities),1999,14(3):337-348.
10Zhong-ciShi,Xue-junXu,Hong-yingMan].CASCADIC MULTIGRID FOR FINITE VOLUME METHODS FOR ELLIPTIC PROBLEMS[J].Journal of Computational Mathematics,2004,22(6):905-920. 被引量：4

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An Algebraic System and Its Application

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