Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations

DOI10.1088/0951-7715/27/2/171zbMath1285.33016arXiv1306.1317OpenAlexW3097996001MaRDI QIDQ5404829

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Publication date: 28 March 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1317

zbMATH Keywords

second Painlevé equationstronquée solutions by Boutroux

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (7)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ Unnamed Item ⋮ Truncated solutions of Painlevé equation \({\mathrm P}_{\mathrm V}\) ⋮ Tronquée solutions of the third and fourth Painlevé equations ⋮ On the exact Gevrey order of formal Puiseux series solutions to the third Painlevé equation

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