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Constructing(2+1)-dimensional N=1 supersymmetric integrable systems from the Hirota formalism in the superspace

Chinese Physics B 2018年第4期27卷 148-157页

作者：王建勇唐晓艳梁祖峰 Department of Mathematics and Physics Quzhou University Shanghai Key Laboratory of Trustworthy Computing East China Normal University Department of Physics Hangzhou Normal University

The N = 1 supersymmetric extensions of two integrable systems,a special negative Kadomtsev–Petviashvili(NKP)system and a(2+1)-dimensional modified Korteweg–de Vries(MKd V) system,are constructed from the Hirota formalism in the *** integrability of both systems in the sense of possessing infinitely many generalized symmetries are confirmed by extending the formal series symmetry approach to the supersymmetric *** is found that both systems admit a generalization of W∞type algebra and a Kac-Moody–Virasoro type ***,the first one of the positive flow of the supersymmetric NKP system is another N = 1 supersymmetric extension of the(2+1)-dimensional MKd V *** on our work,a hypothesis is put forward on a series of(2+1)-dimensional supersymmetric integrable *** is hoped that our work may develop a straightforward way to obtain supersymmetric integrable systems in high dimensions.

关键词： formal series symmetry approach generalized symmetry supersymmetric NKP system supersymmetric MKdV system

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

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Chinese Physics B 2015年第5期24卷 148-152页

作者：王建勇唐晓艳梁祖峰楼森岳 Department of Mathematics and Physics Quzhou University Department of Physics and Astronomy Shanghai Jiao Tong University Institute of Systems Science East China Normal University The Abdus Salam International Center for Theoretical Physics Department of Physics Hangzhou Normal University Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere Ningbo University Shanghai Key Laboratory of Trustworthy Computing East China Normal University

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 the

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

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