Аннотация:
We consider the class of hierarchies of integrable PDEs
satisfying topological recursion coming from Deligne-Mumford moduli
spaces of stable algebraic curves. Many classical examples like
Korteweg – de Vries, nonlinear Schroedinger, Toda lattice equations
belong to this class but there are many new hierarchies depending on
continuous parameters. We construct a big family of such hierarchies
with the help of the well known dressing transformations and their
quantization