150 citations · 531 across the 43 of their papers we have counts for
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nlin.SI2002★ 23 cited
On a Poisson reduction for Gel'fand--Zakharevich manifolds
G. Falqui, M. Pedroni
We formulate and discuss a reduction theorem for Poisson pencils associated with a class of integrable systems, defined on bi-Hamiltonian manifolds, recently studied by Gel'fand an…
nlin.SI2002★ 30 cited
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…