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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 |
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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.
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Received: 21 October 2014
Revised: 29 December 2014
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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11.30.Pb
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(Supersymmetry)
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02.20.Sv
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(Lie algebras of Lie groups)
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| Fund: 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. |
Corresponding Authors:
Tang Xiao-Yan
E-mail: xytang@sist.ecnu.edu.cn
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| About author: 02.30.Jr; 11.30.Pb; 02.20.Sv |
Cite this article:
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 2015 Chin. Phys. B 24 050202
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