On WKB analysis of higher order Painlevé equations with a large parameter

DOI10.3792/pjaa.80.53zbMath1067.34088OpenAlexW1992839291MaRDI QIDQ1764326

Yoshitsugu Takei, Takahiro Kawai

Publication date: 24 February 2005

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116442243

zbMATH Keywords

Painlevé transcendentWKB analysis

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) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

WKB analysis of higher order Painlevé equations with a large parameter -- local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\))

Cites Work

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• On the structure of Painlevé transcendents with a large parameter
• On a generalized \(2+1\) dispersive water wave hierarchy
• On the exact WKB analysis of microdifferential operators of WKB type.
• WKB analysis of Painlevé transcendents with a large parameter. I
• Nonisospectral scattering problems: A key to integrable hierarchies

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