Toward the exact WKB analysis for higher-order Painlevé equations -- the case of Noumi-Yamada systems

DOI10.2977/prims/1145475490zbMath1076.34099OpenAlexW2073678679MaRDI QIDQ1769588

Yoshitsugu Takei

Publication date: 4 April 2005

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145475490

zbMATH Keywords

Painlevé equationsexact WKB analysisStokes geometryNoumi-Yamada system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (2)

Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter ⋮ On the Stokes geometry of a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
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