2 papers
math-ph2025
Deformations of the Riemann hierarchy and the geometry of
Alexandr Buryak, Paolo Rossi
The Riemann hierarchy is the simplest example of rank one, (+)-dimensional integrable system of nonlinear evolutionary PDEs. It corresponds to the dispersionless limit of the…
math-ph2025
Bihamiltonian structure of the DR hierarchy in the semisimple case
Alexandr Buryak, Paolo Rossi
Of the two approaches to integrable systems associated to semisimple cohomological field theories (CohFTs), the one suggested by Dubrovin and Zhang and the more recent one using th…