On a WKB-theoretic transformation for a completely integrable system near a degenerate point where two turning points coalesce

DOI10.4171/PRIMS/124zbMath1304.34156OpenAlexW2019083109MaRDI QIDQ2444876

Sampei Hirose

Publication date: 11 April 2014

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/124

zbMATH Keywords

completely integrable systemexact WKB analysisPearcey system

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (3)

On singular solutions to PDEs with turning point involving a quadratic nonlinearity ⋮ On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems ⋮ WKB Analysis and Stokes Geometry of Differential Equations

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