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.
Keywordsintegrable systems discrete Toda lattice classical r-matrix supersymmetry
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