6 citations · 10 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
Bi-Hamiltonian Aspects of a Matrix Harry Dym Hierarchy
Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni +1
We study the Harry Dym hierarchy of nonlinear evolution equations from the bi-Hamiltonian view point. This is done by using the concept of an S-hierarchy. It allows us to define a…
A cohomological construction of integrable hierarchies of hydrodynamic type
Paolo Lorenzoni, Franco Magri
We explain how to use the theory of bidifferential ideals to construct integrable hierarchies of hydrodynamic type.
On the bi-Hamiltonian structures of the Camassa-Holm and Harry Dym equations
Paolo Lorenzoni, Marco Pedroni
We show that the bi-Hamiltonian structures of the Camassa-Holm and Harry Dym hierarchies can be obtained by applying a reduction process to a simple Poisson pair defined on the loo…