Finite-gap solutions of the Mikhalëv equation

A.O. Smirnov (1) , M.V. Pavlov (2) , Vladimir Matveev (3) , V.S. Gerdjikov (4)

1 SUAI - Saint-Petersburg State University of Aerospace Instrumentation
2 ASC - Astro Space Center [Moscow]
3 IMB - Institut de Mathématiques de Bourgogne [Dijon]
4 The National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) [Moscow, Russia]

This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

Domaines: Mathématiques [math]

A.O. Smirnov, M.V. Pavlov, Vladimir Matveev, V.S. Gerdjikov. Finite-gap solutions of the Mikhalëv equation. Integrability, Quantization, and Geometry: I. Integrable Systems, 103.1, AMS, pp.429-450, 2021, Proceedings of Symposia in Pure Mathematics, 978-1-4704-5591-0 ; 978-1-4704-6434-9. ⟨hal-03537593⟩