Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
classification
🌊 nlin.SI
keywords
bracketsfamilyfunctionsintegrablelatticesmulti-hamiltonianpoissonrational
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We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family of integrable lattice equations that includes both the standard and the relativistic Toda lattices.
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