20 citations · 52 across the 19 of their papers we have counts for
4 papers · 2 filters
Poisson Pencils, Integrability, and Separation of Variables
Gregorio Falqui
In this paper we will review a recently introduced method for solving the Hamilton-Jacobi equations by the method of Separation of Variables. This method is based on the notion of…
A geometric approach to the separability of the Neumann-Rosochatius system
Claudio Bartocci, Gregorio Falqui, Marco Pedroni
We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are reco…
Bi-hamiltonian Geometry and Separation of Variables for Gaudin Models: a case study
Gregorio Falqui, Fabio Musso
We address the study of the classical Gaudin spin model from the bi-Hamiltonian point of view. We describe in details the sl(2) three particle case.
Gaudin Models and Bending Flows: a Geometrical Point of View
Gregorio Falqui, Fabio Musso
In this paper we discuss the bihamiltonian formulation of the (rational XXX) Gaudin models of spin-spin interaction, generalized to the case of sl(r)-valued spins. In particular, w…