7 citations · 10 across the 5 of their papers we have counts for
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nlin.SI2003★ 7 cited
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…
nlin.SI2003★ 2 cited
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…
nlin.SI2003★ 1 cited
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.