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A trihamiltonian extension of the Toda lattice

Chiara Andrà·Luca Degiovanni·Guido Magnano
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Abstract

A new Poisson structure on a subspace of the Kupershmidt algebra is defined. This Poisson structure, together with other two already known, allows to construct a trihamiltonian recurrence for an extension of the periodic Toda lattice with $n$ particles. Some explicit examples of the construction and of the first integrals found in this way are given.

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Chiara Andrà, Luca Degiovanni, Guido Magnano. 2005-12-22. A trihamiltonian extension of the Toda lattice. https://arxiv.org/abs/nlin/0512067

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