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

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

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.

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

Received: 21 October 2014
Revised: 29 December 2014
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	11.30.Pb	(Supersymmetry)
	02.20.Sv	(Lie algebras of Lie groups)

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

About author: 02.30.Jr; 11.30.Pb; 02.20.Sv

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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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[1]	Constructing (2+1)-dimensional N=1 supersymmetric integrable systems from the Hirota formalism in the superspace Jian-Yong Wang(王建勇), Xiao-Yan Tang(唐晓艳), Zu-Feng Liang(梁祖峰). Chin. Phys. B, 2018, 27(4): 040203.

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

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