8 citations · 29 across the 13 of their papers we have counts for
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nlin.SI2025
Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
Alexey Basalaev
B. Dubrovin introduced the structure of a Dubrovin--Frobenius manifold on a space of ramified coverings of a sphere by a genus Riemann surface with the prescribed ramification…
nlin.SI2023
On B type family of Dubrovin-Frobenius manifolds and their integrable systems
Alexey Basalaev
According to D.Zuo and an unpulished work of M.Bertola, there is a two--index series of Dubrovin--Frobenius manifold structures associated to a B type Coxeter group. We study the r…
nlin.SI2022
Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds
Alexey Basalaev
We investigate the solutions to open WDVV equation, associated to type A and D Dubrovin-Frobenius manifolds. We show that these solutions satisfy some stabilization condition and a…