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 ›› 2016, Vol. 33 ›› Issue (4): 428-440.doi: 10.3969/j.issn.1005-3085.2016.04.009

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The Fractional Super Broer-Kaup-Kupershmidt Hierarchy and its Nonlinear Integrable Couplings

WEI Han-yu1,  LUO Lin1,  XIA Tie-cheng2   

  1. 1- College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001
    2- Department of Mathematics, Shanghai University, Shanghai 200444
  • Received:2015-05-06 Accepted:2016-05-11 Online:2016-08-15 Published:2016-10-15
  • Contact: H. Wei. E-mail address: weihanyu8207@163.com
  • Supported by:
    The National Natural Science Foundation of China (11547175; 11271008; 11501526); the Key Scientific Research Projects of Henan Province (16A110026).

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Abstract:

Based on the fractional supertrace identity on superalgebras, we derive the fractional super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. Then, we present a nonlinear super integrable Hamiltonian couplings for the fractional super Broer-Kaup-Kupershmidt hierarchy. The proposed method can be generalized to other fractional super hierarchies.

Key words: fractional supertrace identity, super Broer-Kaup-Kupershmidt hierarchy, super Hamiltonian structures, nonlinear integrable couplings

CLC Number: