13 citations · 27 across the 4 of their papers we have counts for
4 papers
Reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures
Guido Carlet, Paolo Lorenzoni, Andrea Raimondo
We study finite-dimensional reductions of the dispersionless 2D Toda hierarchy showing that the consistency conditions for such reductions are given by a system of radial Loewner e…
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…
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.
Differential Geometry of Hydrodynamic Vlasov Equations
John Gibbons, Andrea Raimondo
We consider hydrodynamic chains in dimensions which are Hamiltonian with respect to the Kupershmidt-Manin Poisson bracket. These systems can be derived from single …