On the two different bi-Hamiltonian structures for the Toda lattice

Abstract

We construct two different incompatible Poisson pencils for the Toda lattice by using known variables of separation proposed by Moser and by Sklyanin.

LaTeX with amsfonts, 13 pages

References in corpus (2)

• Bihamiltonian geometry and separation of variables for Toda lattices
• On the Darboux-Nijenhuis Variables for the Open Toda Lattice