23 citations · 82 across the 9 of their papers we have counts for
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nlin.SI2013
A new construction of the Drinfeld-Sokolov Hierarchies
Paolo Casati
The Drinfeld-Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the com…
nlin.SI2006★ 17 cited
The Soliton Equations associated with the Affine Kac-Moody Lie Algebra G_2^{(1)}
Paolo Casati, Alberto Della Vedova, Giovanni Ortenzi
We construct in an explict way the soliton equation corresponding to the affine Kac--Moody Lie algebra together with their bihamiltonian structure. Moreover the Riccati…
nlin.SI2004
New Integrable Hierarchies from Vertex Operator Representations of Polynomial Lie Algebras
Paolo Casati, Giovanni Ortenzi
We give a representation--theoretic interpretation of recent discovered coupled soliton equations using vertex operators construction of affinization of not simple but quadratic Li…