Parametric Stokes Phenomenon for the Second Painlevé Equation

DOI10.1619/fesi.57.173zbMath1308.34118arXiv1106.0612OpenAlexW2029099338MaRDI QIDQ2928381

Kohei Iwaki

Publication date: 7 November 2014

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0612

zbMATH Keywords

second Painlevé equationexact WKB analysis\(P\)-Voros coefficientparametric Stokes phenomenon

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (3)

2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter ⋮ On Stokes Phenomena for the Alternate Discrete PI Equation

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