Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

DOI10.2969/jmsj/06341085zbMath1242.34154OpenAlexW2107503505MaRDI QIDQ654428

Naofumi Honda, Takashi Aoki

Publication date: 28 December 2011

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06341085

zbMATH Keywords

formal solutionsPainlevé hierarchyNoumi-Yamada systems

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) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Cites Work

• Dual class of a subvariety
• Toward the exact WKB analysis for higher-order Painlevé equations -- the case of Noumi-Yamada systems
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