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
Articolo in rivista - Articolo scientifico
Bihamiltonian geometry, Toda lattices
English
2001
8
suppl.
118
127
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18596
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