A trihamiltonian extension of the Toda lattice

Details A trihamiltonian extension of the Toda lattice A trihamiltonian extension of the Toda lattice

2005-12-22

arxiv.org/abs/nlin/0512067v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages

Scientific paper

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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