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nlin.SI2024
The generalised hodograph method for non-diagonalisable integrable systems of hydrodynamic type
Paolo Lorenzoni, Sara Perletti, Karoline van Gemst
We extend the generalised hodograph method to regular non- diagonalisable integrable systems of hydrodynamic type, in light of the relation between such systems and F-manifolds wit…
math-ph2024
Integrable hierarchies and F-manifolds with compatible connection
Paolo Lorenzoni, Sara Perletti, Karoline van Gemst
Building on the interplay between geometry and integrability, we show that F-manifolds with compatible connection are the geometric counterpart of integrable sys…
math.DG2024★ 2 cited
Regular F -manifolds with eventual identities
Sara Perletti, Ian A. B. Strachan
Given an F-manifold one may construct a dual multiplication (generalizing the idea of an almost-dual Frobenius manifold introduced by Dubrovin) using a so-called eventual identity,…