Symplectic realizations and action-angle coordinates for the Lie-Poisson system of Dirac hierarchy

被引：4

作者：

Du, Dianlou ^{[1
]}

Geng, Xue ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 244卷

基金：

中国国家自然科学基金;

关键词：

Poisson structure; Restricted system; Symplectic realization; Action-angle coordinates; NONLINEARIZED EIGENVALUE PROBLEM; RESTRICTED FLOWS; SPECTRAL PROBLEM; INTEGRABILITY; EQUATIONS; ALGEBRA;

D O I：

10.1016/j.amc.2014.06.103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the relations among four finite-dimensional Hamiltonian systems associated with the Dirac hierarchy are studied via three Poisson maps from the standard symplectic structures to the Lie-Poisson structure of Lie algebra sl(2). It has shown that the canonical Hamiltonian systems in the standard symplectic structures are the different symplectic realizations of the Lie-Poisson Hamiltonian system. The action-angle coordinates and the Jacobi inversion problem for the Lie-Poisson Hamiltonian systems are also investigated in detail. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：222 / 234

页数：13