Bihamiltonian geometry and separation of variables for Toda lattices

Details Bihamiltonian geometry and separation of variables for Toda lattices Bihamiltonian geometry and separation of variables for Toda lattices

2000-02-08

arxiv.org/abs/nlin/0002008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, Latex with amsmath and amssymb. Report of talks given at NEEDS99

Scientific paper

We discuss the bihamiltonian geometry of the Toda lattice (periodic and
open). Using some recent results on the separation of variables for
bihamiltonian manifolds, we show that these systems can be explicitly
integrated via the classical Hamilton-Jacobi method in the so-called
Darboux-Nijenhuis coordinates.

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