Generalized fermionic discrete Toda hierarchy
2004
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 reductionsN=4 and N=2 supersymmetric Toda lattice hierarchiesin different (including canonical) bases are investigated. Its r-matrix description, monodromy matrix, and spectral curves are discussed.
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