Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (5): 1132-1141.

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The Novel (2+1)-Dimensional Supersymmetric Integrable Equations

Fang Chen1,2,Zeyu Sun1,Minru Chen3,Zhaowen Yan1,*()   

  1. 1 School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
    2 School of Mathematics and Statistics, Northeast Normal University, Changchun 130024
    3 College of Mathematics and Information Sciences, Henan University, Henan Kaifeng 475001
  • Received:2019-06-12 Online:2020-10-26 Published:2020-11-04
  • Contact: Zhaowen Yan E-mail:yanzw@imu.edu.cn
  • Supported by:
    the NSFC(11965014);the NSFC(11605096);the NSFC(11505046);the Autonomous Region forUndergraduate Innovation Training Program for Inner Mongolia University(201910126062)

Abstract:

Base on the super Lie algebra osp(2/2), we construct the (2+1)-dimensional supersymmetric integrable equations by means of two approaches. One of the technique is in terms of homogeneous spaces of super-Lie algebra, and in the other one, extending the dimension of the system has been used. Moreover, we derive the Bäcklund transformations for the (2+1)-dimensional supersymmetric integrable equations.

Key words: Supersymmetric integrable equations, Super Lie algebra, Bäcklund transformations

CLC Number: 

  • O29
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