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

doi:10.1088/1674-1056/20/1/010302

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10302-010302.doi: 10.1088/1674-1056/20/1/010302

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

李佑宁, 黄华俊

Department of Physics, Tsinghua University, Beijing 100084, China

收稿日期:2010-07-05 修回日期:2010-09-07 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the State Key Basic Research Development Programs (Grant Nos. 2007CB815005 and 2009CB929402).

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

Li You-Ning(李佑宁)^† and Huang Hua-Jun(黄华俊)

Department of Physics, Tsinghua University, Beijing 100084, China

Received:2010-07-05 Revised:2010-09-07 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the State Key Basic Research Development Programs (Grant Nos. 2007CB815005 and 2009CB929402).

摘要/Abstract

摘要： 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.

Abstract: 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.

Key words: dynamical symmetry, superintegrable system, deformed angular momentum algebra

中图分类号: (Algebraic methods)

03.65.Fd

02.30.Ik (Integrable systems) 02.20.Qs (General properties, structure, and representation of Lie groups)

李佑宁, 黄华俊. Nonlinear dynamical symmetries of Smorodinsky–Winternitz and and Fokas–Lagerstorm systems[J]. 中国物理B, 2011, 20(1): 10302-010302.

Li You-Ning(李佑宁) and Huang Hua-Jun(黄华俊). Nonlinear dynamical symmetries of Smorodinsky–Winternitz and and Fokas–Lagerstorm systems[J]. Chin. Phys. B, 2011, 20(1): 10302-010302.

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

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

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