Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds (2201.12842v1)

Published 30 Jan 2022 in nlin.SI, math-ph, and math.MP

Abstract: 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 associate to both of them the systems of commuting PDEs. In the type A we show that the system of PDEs constructed coincides with the dispersionless modifiled KP hierarchy written in the Fay form.

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Authors (1)

Alexey Basalaev

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