Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-11-17
Nonlinear Sciences
Exactly Solvable and Integrable Systems
40 pages, LaTeX, v.2 few misprints corrected
Scientific paper
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.
Gribanov Vladimir
Kadyshevsky V. G.
Sorin Alexander S.
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