Czechoslovak Journal of Physics

, Volume 54, Issue 11, pp 1289–1295 | Cite as

Periodic Supersymmetric Toda Lattice Hierarchy

  • V.V. Gribanov
  • V.G. Kadyshevsky
  • A.S. Sorin


The zero-curvature representation of the periodic fermionic two-dimensional Toda lattice equations is constructed. It is shown that their reduction to the one-dimensional space is N=4 supersymmetric and possesses a bi-Hamiltonian structure. Their r-matrix description, monodromy matrix, and spectral curves are discussed.


integrable systems discrete Toda lattice classical r-matrix supersymmetry 


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Copyright information

© Institute of Physics, Academy of Sciences of Czech Republic 2004

Authors and Affiliations

  • V.V. Gribanov
    • 1
  • V.G. Kadyshevsky
    • 2
  • A.S. Sorin
    • 3
  1. 1.Bogoliubov Laboratory of Theoretical Physics
  2. 2.Bogoliubov Laboratory of Theoretical Physics
  3. 3.Bogoliubov Laboratory of Theoretical Physics

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