2003/11/17 by V. V. Gribanov, Gribanov, V. V., V. G. Kadyshevsky +3
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0311030
40 pages, LaTeX, v.2 few misprints corrected
arxiv created 2004/01/16 · arxiv updated 2009/12/01
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.