Weakly nonlinear solutions of equation \(P^ 2_ 1\)

DOI10.1007/BF02364569zbMath0834.34007MaRDI QIDQ1189603

Andrei A. Kapaev

Publication date: 27 September 1992

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

asymptoticsfirst Painlevé equationStokes raysisomonodromy deformation method

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (8)

THE RIEMANN–HILBERT APPROACH TO OBTAIN CRITICAL ASYMPTOTICS FOR HAMILTONIAN PERTURBATIONS OF HYPERBOLIC AND ELLIPTIC SYSTEMS ⋮ Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach ⋮ Universality of a double scaling limit near singular edge points in random matrix models ⋮ Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation ⋮ Continual limit in the Hermitian matrix model \(\Phi^ 6\) ⋮ The isomonodromy approach to matrix models in 2D quantum gravity ⋮ On an isomonodromy deformation equation without the Painlevé property ⋮ On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\)

Cites Work

• Geometry of the string equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Monodromy- and spectrum-preserving deformations. I
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