Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds
Exactly Solvable and Integrable Systems
2022-07-13 v1 Mathematical Physics
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.
Keywords
Cite
@article{arxiv.2201.12842,
title = {Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds},
author = {Alexey Basalaev},
journal= {arXiv preprint arXiv:2201.12842},
year = {2022}
}