2021/01/25 by A. Andreev, A. Popolitov, А. Слепцов +3
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Computer science #Construct (python library) #Deformation (meteorology) #Eigenvalues and eigenvectors #Geometry #Hierarchy #Mathematics #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #hep-th #math-ph #math.CO #math.MP
paper · pdf · open access · doi:10.1140/epjc/s10052-021-09899-8
published in The European Physical Journal C 81(12) (Springer Science+Business Media) · 17 pages, no figures
arxiv created 2021/01/25 · openalex publication_date 2021/12/01 · arxiv updated 2022/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Following Natanzon-Zabrodin, we explore the Kadomtsev-Petviashvili hierarchy as an infinite system of mutually consistent relations on the second derivatives of the free energy with some universal coefficients. From this point of view, various combinatorial properties of these coefficients naturally highlight certain non-trivial properties of the KP hierarchy. Furthermore, this approach allows us to suggest several interesting directions of the KP deformation via a deformation of these coefficients. We also construct an eigenvalue matrix model, whose correlators fully describe the universal KP coefficients, which allows us to further study their properties and generalizations.