Global asymptotic formulae for the fourth Painleve transcendent

DOI10.1070/SM1997v188n12ABEH000283zbMath0905.34006MaRDI QIDQ3839260

V. L. Vereshchagin

Publication date: 5 November 1998

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

monodromydeformationsWKB methodWhitham averagingfourth Painlevé transcendent

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (2)

A dynamical systems approach to the fourth Painlevé equation ⋮ ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS

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