Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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12 pages, Latex

Scientific paper

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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