Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1
Chinese Journal of Engineering Mathematics

Chinese Journal of Engineering Mathematics ›› 2019, Vol. 36 ›› Issue (6): 708-720.doi: 10.3969/j.issn.1005-3085.2019.06.009

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Generating New Super Dynamical Systems in (2+1)-dimensional Space

WEI Han-yu1,  ZHANG Yan1,  XIA Tie-cheng2   

  1. 1- College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001
    2- Department of Mathematics, Shanghai University, Shanghai 200444
  • Received:2017-07-31 Accepted:2019-06-03 Online:2019-12-15 Published:2020-02-15
  • Contact: H. Wei. E-mail address: weihanyu8207@163.com
  • Supported by:
    The National Natural Science Foundation of China (11547175); the Aid Project for the Mainstay Young Teachers in Henan Provincial Institutions of Higher Education (2017GGJS145).

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Abstract: In the article, we make use of the binormial-residue-representation (BRR) to generate (2+1)-dimensional super dynamical systems. By using these systems, a new (2+1)-dimensional super NLS-MKdV hierarchy is deduced, which can be reduced to super nonlinear Schrodinger equation. Especially, two main results are obtained which have important physical applications. One of them is a set of (2+1)-dimensional super integrable couplings, the other one is a (2+1)-dimensional diffusion equation. Furthermore, Super trace identity is used to furnish the super Hamiltonian structures for the new (2+1)-dimensional super integrable system.

Key words: binormial-residue-representation method, Lie super algebra, super NLS-MKdV hierarchy, super Hamiltonian structures

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