On the master symmetries related to certain classes of integrable Hamiltonian systems

被引：9

作者：

Smirnov, RG

机构：

[1] Dept. of Mathematics and Statistics, Queen's University, Kingston

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 24期

关键词：

D O I：

10.1088/0305-4470/29/24/034

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the complete classification of master symmetries related to a nondegenerate Hamiltonian system that is integrable in the Arnol'd-Liouville's sense. It is shown that a C-integrable Hamiltonian system cannot have generators of degree greater than 2. Specific properties of the master symmetries classified in terms of the action-angle variables are investigated.

引用

页码：8133 / 8138

页数：6

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