363 citations · 1.3k across the 53 of their papers we have counts for
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math.DG2003★ 77 cited
Virasoro Symmetries of the Extended Toda Hierarchy
Boris Dubrovin, Youjin Zhang
We prove that the extended Toda hierarchy of \cite{CDZ} admits nonabelian Lie algebra of infinitesimal symmetries isomorphic to the half of the Virasoro algebra. The generators $L_…
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…