A short note on the Painlevé XXV–Ermakov equation
Artykuł naukowy w czasopiśmie recenzowanyCzasopismo: APPLIED MATHEMATICS LETTERS (ISSN: 0893-9659)
Współautorzy: Sandra Carillo Galina Filipuk Federico Zullo
Rok wydania: 2022
Tom: 131
Strony od-do: 1 - 5
Streszczenie: Solutions of the second member of the Riccati chain and of the corresponding third order linear differential equation are related to solutions of the so-called Painlevé XXV–Ermakov equation via the Schwarzian derivative. The reduction to the generalised Ermakov equation is shown to arise naturally from the Painlevé XXV–Ermakov equation. Specifically, the first order system of ordinary differential equations, equivalent to the Painlevé XXV–Ermakov equation, is analysed by resolving points of indeterminacy of the vector field over P1 × P1.
Słowa kluczowe: Painlevé equations, Ermakov’s equation, Riccati equation, Blowup Birational transformation
DOI: https://doi.org/10.1016/j.aml.2022.108064
Cytowanie w formacie Bibtex:
@article{1,
author = "Aliaksandr Chychuryn and Sandra Carillo Galina Filipuk Federico Zullo",
title = "A short note on the Painlevé XXV–Ermakov equation",
journal = "APPLIED MATHEMATICS LETTERS",
year = "2022",
pages = "1 - 5"
}
Cytowanie w formacie APA:
Chychuryn, A. and Sandra Carillo Galina Filipuk Federico Zullo(2022). A short note on the Painlevé XXV–Ermakov equation. APPLIED MATHEMATICS LETTERS, 1 - 5.