Hyperasymptotics for nonlinear ODEs II. The first Painlevé equation and a second-order Riccati equation

DOI10.1098/rspa.2005.1463zbMath1206.34077OpenAlexW2003241956MaRDI QIDQ5428296

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Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1463

zbMATH Keywords

nonlinear differential equationsPainlevé equationasymptotic expansionsRiccati equationStokes phenomenonhyperasymptotics

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotic expansions of solutions to ordinary differential equations (34E05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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Cites Work

• Unnamed Item
• On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations
• Rigorous bounds of Stokes constants for some nonlinear ordinary differential equations at rank-one irregular singularities
• Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one
• On Boutroux's Tritronquée Solutions of the First Painlevé Equation
• Hyperasymptotics for nonlinear ODEs I. A Riccati equation

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