83 citations · 97 across the 9 of their papers we have counts for
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nlin.SI2009★ 1 cited
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…
nlin.SI2003★ 3 cited
Extended Toda Lattice
Guido Carlet
We introduce nonlocal flows that commute with those of the classical Toda hierarchy. We define a logarithm of the difference Lax operator and use it to obtain a Lax representation…
nlin.SI2003★ 5 cited
The Extended Toda Hierarchy
Guido Carlet, Boris Dubrovin, Youjin Zhang
We present the Lax pair formalism for certain extension of the continuous limit of the classical Toda lattice hierarchy, provide a well defined notion of tau function for its solut…