A trihamiltonian extension of the Toda lattice
arXiv:nlin/0512067
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 particles. Some explicit examples of the construction and of the first integrals found in this way are given.
24 pages