13 citations · 27 across the 4 of their papers we have counts for
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nlin.SI2008★ 3 cited
Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type
John Gibbons, Paolo Lorenzoni, Andrea Raimondo
We study purely nonlocal Hamiltonian structures for systems of hydrodynamic type. In the case of a semi-Hamiltonian system, we show that such structures are related to quadratic ex…
nlin.SI2008★ 10 cited
Hamiltonian structure of reductions of the Benney system
John Gibbons, Paolo Lorenzoni, Andrea Raimondo
We show how to construct the Hamiltonian structures of any reduction of the Benney chain (dKP) starting from the family of conformal maps associated to it.