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On a supersymmetric nonlinear integrable equation in (2+1) dimensions
Authors:Zhigang Yin  Lu Yu  Minli Li
Institution:1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. College of Science, Jiujiang University, Jiujiang 332005, Jiangxi,China;3. Economic management Branch, Jiangxi Industry polytechnic college, Nanchang 330039, China liml@mail.cnu.edu.cn;4. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
Abstract:A supersymmetric integrable equation in (2+1) dimensions is constructed by means of the approach of the homogenous space of the super Lie algebra, where the super Lie algebra osp(3/2) is considered. For this (2+1) dimensional integrable equation, we also derive its Bäcklund transformation.
Keywords:Integrable systems  supersymmetry  super Lie algebra
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