56 citations · 403 across the 41 of their papers we have counts for
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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.SI2006★ 12 cited
Flat bidifferential ideals and semihamiltonian PDEs
Paolo Lorenzoni
In this paper we consider a class of semihamiltonian systems characterized by the existence of a special conservation law. The density and the current of this conservation law sati…
nlin.SI2006★ 10 cited
A 3-component extension of the Camassa-Holm hierarchy
Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni
We introduce a bi-Hamiltonian hierarchy on the loop-algebra of sl(2) endowed with a suitable Poisson pair. It gives rise to the usual CH hierarchy by means of a bi-Hamiltonian redu…