Integrable systems associated to open extensions of type A and D Dubrovin–Frobenius manifolds. (22nd July 2022)

• Record Type: Journal Article
• Authors: Basalaev, A
• Is Part Of: Journal of physics. Volume 55:Number 29(2022)
• Publication Date: 2022-07-22
• Subjects: Dubrovin–Frobenius manifolds -- integrable hierarchies -- open WDVV equation; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ac79e4
• Languages: English
• ISSNs: 1751-8113

Abstract

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 modified KP hierarchy written in the Fay form.