定态耦合Harry-Dym方程的Bargmann坐标及约束系统的Poisson结构

数学物理学报 ›› 1998, Vol. 18 ›› Issue (S1): 174-180.

• 论文 • 上一篇

定态耦合Harry-Dym方程的Bargmann坐标及约束系统的Poisson结构

杜殿楼

郑州大学系统科学与数学系郑州 450052

收稿日期:1996-12-10 修回日期:1997-04-14 出版日期:1998-12-26 发布日期:1998-12-26
基金资助:
国家自然科学基金资助项目19671074

Bargmann Coordinate for Stationary Coupled Harry-Dym Equation and Poisson Structure for the Restricted System

DU Dianlou

Department of System Science and Mathematics Zhengzhou Unizersity, Zhengzhou 450052

Received:1996-12-10 Revised:1997-04-14 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

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.

关键词: 定态方程, Bargmann坐标, 约束系统, r-矩阵, Poisson结构

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.

Key words: Stationary equation, Bargmann coordinate, restricted system, r-matrix, Poisson structure

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, 1998, 18(S1): 174-180.

DU Dianlou. Bargmann Coordinate for Stationary Coupled Harry-Dym Equation and Poisson Structure for the Restricted System[J]. Acta mathematica scientia,Series A, 1998, 18(S1): 174-180.

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定态耦合Harry-Dym方程的Bargmann坐标及约束系统的Poisson结构

Bargmann Coordinate for Stationary Coupled Harry-Dym Equation and Poisson Structure for the Restricted System

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