Bihamiltonian geometry and separation of variables for Toda lattices
  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. 
G. Falqui, F. Magri, M. Pedroni