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

作　　者：王建勇 唐晓艳 梁祖峰 楼森岳 

机构地区：[1]Department of Mathematics and Physics, Quzhou University [2]Department of Physics and Astronomy, Shanghai Jiao Tong University [3]Institute of Systems Science, East China Normal University [4]The Abdus Salam International Center for Theoretical Physics [5]Department of Physics, Hangzhou Normal University [6]Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere, Ningbo University [7]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University

出　　处：《Chinese Physics B》2015年第5期148-152,共5页中国物理B（英文版）

基　　金：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);the Talent Fund and K C Wong Magna Fund in Ningbo University,China

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 f（t）. Some interesting special cases of symmetry algebras are commutativity of higher order generalized symmetries. many generalized symmetries with an arbitrary function presented, including a limit case f（t） = 1 related to theThe 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 f（t）. Some interesting special cases of symmetry algebras are commutativity of higher order generalized symmetries. many generalized symmetries with an arbitrary function presented, including a limit case f（t） = 1 related to the

关 键 词：formal series symmetry approach generalized symmetry infinite dimensional Lie algebra supersymmetric Boiti-Leon-Manna-Pempinelli system 

分 类 号：O152.5[理学—数学]