We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifold, we show that these systems can be explicitly integrated via the classical Hamilton-Jacobi method in the so-called Darboux-Nijenhuis coordinates
Falqui, G., Magri, F., Pedroni, M. (2001). Bihamiltonian geometry and separation of variables for Toda lattices. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 8(suppl.), 118-127 [10.2991/jnmp.2001.8.s.21].
Bihamiltonian geometry and separation of variables for Toda lattices
FALQUI, GREGORIO;
2001
Abstract
We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifold, 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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