| 定态耦合Harry-Dym方程的Bargmann坐标及约束系统的Poisson结构 |
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| 引用本文： | 杜殿楼.定态耦合Harry-Dym方程的Bargmann坐标及约束系统的Poisson结构[J].数学物理学报(A辑),1998(Z1). |
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| 作者姓名： | 杜殿楼 |
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| 作者单位： | 郑州大学系统科学与数学系 郑州450052 |
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| 基金项目： | 国家自然科学基金19671074. |
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| 摘 要： | 该文首先给出相联于耦合Harry-Dym(CHD)族的Lenard递归方程的多项式解,并证明了任一定态CHD方程的解均有可积的Bargmann坐标表示.最后讨论了约束系统的动力r-矩阵及Poisson结构.
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| 关 键 词： | 定态方程 Bargmann坐标 约束系统 r-矩阵 Poisson结构 |
Bargmann Coordinate for Stationary Coupled Harry-Dym Equation and Poisson Structure for the Restricted System |
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| DU Dianlou.Bargmann Coordinate for Stationary Coupled Harry-Dym Equation and Poisson Structure for the Restricted System[J].Acta Mathematica Scientia,1998(Z1). |
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| Authors: | DU Dianlou |
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| Institution: | DU Dianlou Department of System Science and Mathematics Zhengzhou Unizersity,Zhengzhou 450052 |
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| Abstract: | In this paper, the polynomial solution of the Lenard's recurise equation associatedwith coupled Harry-Dym (CHD) hierarchy is derived,and it is proved that every solution ofstationary CHD equation has a integrable Bargmann coordinate. Finally Poisson structure anddynamical r- matrix for the restricted system are presented. |
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| Keywords: | Stationary equation Bargmann coordinate restricted structure |
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