Scaling limits in the second Painlevé transcendent

DOI10.1007/BF02398460zbMath0868.34042OpenAlexW2050995688MaRDI QIDQ1918277

Andrei A. Kapaev

Publication date: 26 November 1996

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02398460

zbMATH Keywords

second Painlevé equationscaling limitscomplex parameterelliptical asymptoticsisomonodromy deformation method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation ⋮ Rational solutions of the Painlevé-II equation revisited ⋮ Painlevé-III monodromy maps under the \(D_6 \rightarrow D_8\) confluence and applications to the large-parameter asymptotics of rational solutions ⋮ On the increasing tritronquée solutions of the Painlevé-II equation

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Connection formulae for Painlevé V functions
• Monodromy- and spectrum-preserving deformations. I
• Discrete Painlevé equations and their appearance in quantum gravity
• Connection formulae for the first Painlevé transcendent in the complex domain
• Rational Solutions of Painlevé Equations
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