Generalized fermionic discrete Toda hierarchy
Exactly Solvable and Integrable Systems
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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 are described. 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.
Cite
@article{arxiv.nlin/0311030,
title = {Generalized fermionic discrete Toda hierarchy},
author = {V. V. Gribanov and V. G. Kadyshevsky and A. S. Sorin},
journal= {arXiv preprint arXiv:nlin/0311030},
year = {2007}
}
Comments
40 pages, LaTeX, v.2 few misprints corrected