Nonlinear dynamical symmetries of Smorodinsky-Winternitz and and Fokas-Lagerstorm systems

General solutions of the Smorodinsky-Winternitz system and the Fokas-Lagerstorm system, which are superintegrable in two-dimensional Euclidean space, are obtained using the algebraic method （structure function）. Their dynamical symmetries, which are governed by deformed angular momentum algebras, ar...

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Bibliographic Details
Published in:Chinese physics B 2011, Vol.20 (1), p.1-7
Main Author: 李佑宁 黄华俊
Format: Article
Language:English
Subjects:
一般解
代数方法
动力学对称性
欧几里得空间
结构功能
角动量
非线性
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Summary:General solutions of the Smorodinsky-Winternitz system and the Fokas-Lagerstorm system, which are superintegrable in two-dimensional Euclidean space, are obtained using the algebraic method （structure function）. Their dynamical symmetries, which are governed by deformed angular momentum algebras, are revealed.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/1/010302