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arXiv · 2201.12842

Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds

Alexey Basalaev
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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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Alexey Basalaev. 2022-01-30. Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds. https://doi.org/10.1088/1751-8121%2Fac79e4

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