Journal of Shanghai University(Natural Science Edition) ›› 2017, Vol. 23 ›› Issue (2): 257-266.doi: 10.3969/j.issn.1007-2861.2015.04.022

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Tri-integrable couplings of Dirac hierarchy and its bi-Hamiltonian structure

LI Qian1,2, XIA Tiecheng1   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. College of Sciences, Zhengzhou University of Aeronautics, Zhengzhou 450005, China
  • Received:2015-10-26 Online:2017-04-30 Published:2017-04-30

Abstract:

Tri-integrable couplings of Dirac hierarchy are obtained based on the enlarged zero curvature equation from semi-direct sums of Lie algebras. Its bi-Hamiltonian structures are then established with variational identity.

Key words: bi-Hamiltonian structure, tri-integrable couplings, Dirac hierarchy