A trihamiltonian extension of the Toda lattice
classification
🌊 nlin.SI
keywords
extensionlatticepoissonstructuretodatrihamiltonianalgebraallows
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.