A short note on the Painlevé XXV-Ermakov equation

DOI10.1016/j.aml.2022.108064OpenAlexW4221025031WikidataQ113880657 ScholiaQ113880657MaRDI QIDQ2135708

Sandra Carillo, Galina Filipuk, Federico Zullo, Alexander V. Chichurin

Publication date: 9 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108064

zbMATH Keywords

blowupRiccati equationPainlevé equationsbirational transformationErmakov's equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Cites Work

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• On singularities of certain non-linear second-order ordinary differential equations
• Regularising transformations for complex differential equations with movable algebraic singularities
• The Ermakov equation: A commentary
• On higher-order Riccati equations as Bäcklund transformations
• Linear equations with one constraint and their connection to nonlinear equations of the fourth order
• Basic Algebraic Geometry 1