Nonlinear Stokes phenomenon for the second Painlevé equation

DOI10.1016/0167-2789(93)90142-NzbMath0769.34008MaRDI QIDQ1803780

Victor Yu. Novokshenov

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

second Painlevé equationAiry functiongroup of modular transformationsessential singular pointglobal asymptotic solution

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Monodromy- and spectrum-preserving deformations. I
• Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations
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