10 citations · 10 across the 2 of their papers we have counts for
2 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.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…