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Generalized fermionic discrete Toda hierarchy

Author

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

Abstract

We describe bi-Hamiltonian structure and Lax-pair formulation with the spectral parameter of the generalized fermionic Toda lattice hierarchy as well as its bosonic and fermionic symmetries for different (including periodic) boundary conditions. Its two reductions— N = 4 and N = 2 supersymmetric Toda lattice hierarchies—in different (including canonical) bases are investigated. Its r -matrix description, monodromy matrix, and spectral curves are discussed.

Suggested Citation

  • V. V. Gribanov & V. G. Kadyshevsky & A. S. Sorin, 2004. "Generalized fermionic discrete Toda hierarchy," Discrete Dynamics in Nature and Society, Hindawi, vol. 2004, pages 1-41, January.
    • Handle: RePEc:hin:jnddns:543094
    DOI: 10.1155/S1026022604311027
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