7 citations · 10 across the 5 of their papers we have counts for
8 papers
Gel'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited
Gregorio Falqui, Marco Pedroni
In this paper we will discuss some features of the bihamiltonian method for solving the Hamilton-Jacobi (H-J) equations by Separation of Variables, and make contact with the theory…
On Separation of Variables for Homogeneous SL(r) Gaudin Systems
Gregorio Falqui, Fabio Musso
By means of a recently introduced bihamiltonian structure for the homogeneous Gaudin models, we find a new set of Separation Coordinates for the sl(r) case.
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.
Separation of variables for bi-Hamiltonian systems
Gregorio Falqui, Marco Pedroni
We address the problem of the separation of variables for the Hamilton-Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special…