6 citations · 10 across the 2 of their papers we have counts for
3 papers
nlin.SI2006
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…
nlin.SI2005★ 6 cited
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.
nlin.SI2004★ 4 cited
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…