Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system

doi:10.1088/1674-1056/24/5/050202

中国物理B ›› 2015, Vol. 24 ›› Issue (5): 50202-050202.doi: 10.1088/1674-1056/24/5/050202

Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system

王建勇^{a b}, 唐晓艳^{c d}, 梁祖峰^e, 楼森岳^{f g}

a Department of Mathematics and Physics, Quzhou University, Quzhou 324000, China;
b Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;
c Institute of Systems Science, East China Normal University, Shanghai 200241, China;
d The Abdus Salam International Center for Theoretical Physics, Trieste 34100, Italy;
e Department of Physics, Hangzhou Normal University, Hangzhou 310036, China;
f Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere, Ningbo University, Ningbo 315211, China;
g Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

收稿日期:2014-10-21 修回日期:2014-12-29 出版日期:2015-05-05 发布日期:2015-05-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275123, 11175092, 11475052, and 11435005), the Shanghai Knowledge Service Platform for Trustworthy Internet of Things, China (Grant No. ZF1213), and the Talent Fund and K C Wong Magna Fund in Ningbo University, China.

Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system

Wang Jian-Yong (王建勇)^{a b}, Tang Xiao-Yan (唐晓艳)^{c d}, Liang Zu-Feng (梁祖峰)^e, Lou Sen-Yue (楼森岳)^{f g}

a Department of Mathematics and Physics, Quzhou University, Quzhou 324000, China;
b Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;
c Institute of Systems Science, East China Normal University, Shanghai 200241, China;
d The Abdus Salam International Center for Theoretical Physics, Trieste 34100, Italy;
e Department of Physics, Hangzhou Normal University, Hangzhou 310036, China;
f Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere, Ningbo University, Ningbo 315211, China;
g Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

Received:2014-10-21 Revised:2014-12-29 Online:2015-05-05 Published:2015-05-05
Contact: Tang Xiao-Yan E-mail:xytang@sist.ecnu.edu.cn
About author:02.30.Jr; 11.30.Pb; 02.20.Sv
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275123, 11175092, 11475052, and 11435005), the Shanghai Knowledge Service Platform for Trustworthy Internet of Things, China (Grant No. ZF1213), and the Talent Fund and K C Wong Magna Fund in Ningbo University, China.

摘要/Abstract

摘要： The formal series symmetry approach (FSSA), a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supersymmetric framework to explore series of infinitely many generalized symmetries for supersymmetric systems. Taking the N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system as a concrete example, it is shown that the application of the extended FSSA to this supersymmetric system leads to a set of infinitely many generalized symmetries with an arbitrary function f(t). Some interesting special cases of symmetry algebras are presented, including a limit case f(t)=1 related to the commutativity of higher order generalized symmetries.

关键词: formal series symmetry approach, generalized symmetry, infinite dimensional Lie algebra, supersymmetric Boiti–, Leon–, Manna–, Pempinelli system

Abstract: The formal series symmetry approach (FSSA), a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supersymmetric framework to explore series of infinitely many generalized symmetries for supersymmetric systems. Taking the N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system as a concrete example, it is shown that the application of the extended FSSA to this supersymmetric system leads to a set of infinitely many generalized symmetries with an arbitrary function f(t). Some interesting special cases of symmetry algebras are presented, including a limit case f(t)=1 related to the commutativity of higher order generalized symmetries.

Key words: formal series symmetry approach, generalized symmetry, infinite dimensional Lie algebra, supersymmetric Boiti–Leon–Manna–Pempinelli system

中图分类号: (Partial differential equations)

02.30.Jr

11.30.Pb (Supersymmetry) 02.20.Sv (Lie algebras of Lie groups)

王建勇, 唐晓艳, 梁祖峰, 楼森岳. Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system[J]. 中国物理B, 2015, 24(5): 50202-050202.

Wang Jian-Yong (王建勇), Tang Xiao-Yan (唐晓艳), Liang Zu-Feng (梁祖峰), Lou Sen-Yue (楼森岳). Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system[J]. Chin. Phys. B, 2015, 24(5): 50202-050202.

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Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system

Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system

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