On the Stokes geometry of a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)

DOI10.4171/PRIMS/55-1-3zbMath1422.34254OpenAlexW2908147776MaRDI QIDQ1731796

Yoko Umeta

Publication date: 14 March 2019

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/10.4171/prims/55-1-3

zbMATH Keywords

Lax pairexact WKB analysisPainlevé hierarchyStokes geometry

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 (1)

General formal solutions for a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)

Cites Work

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• Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
• Nonisospectral scattering problems: A key to integrable hierarchies
• Virtual Turning Points

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