scientific article; zbMATH DE number 5257763
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Publication:5454808
zbMath1177.34113MaRDI QIDQ5454808
Publication date: 3 April 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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)
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Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability ⋮ Multicomponent Painlevé ODEs and related nonautonomous KdV stationary hierarchies ⋮ On the Stokes geometry of a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34) ⋮ Non-autonomous Hénon-Heiles system from Painlevé class ⋮ On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems ⋮ Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter ⋮ Multi-Poisson approach to the Painlevé equations: from the isospectral deformation to the isomonodromic deformation ⋮ WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind ⋮ General formal solutions for a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)
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