A review of the sixth Painlevé equation

DOI10.1007/s00365-014-9250-6zbMath1330.34141arXiv1210.0311OpenAlexW2157748232MaRDI QIDQ2351048

Davide Guzzetti

Publication date: 26 June 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0311

zbMATH Keywords

asymptotic analysisPainlevé equationsisomonodromy deformations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (8)

Isomonodromy, Painlevé transcendents and scattering off of black holes ⋮ Circular pentagons and real solutions of Painlevé VI equations ⋮ On the monodromy manifold of \(q\)-Painlevé VI and its Riemann-Hilbert problem ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ Towards the Convergence of Generalized Power Series Solutions of Algebraic ODEs ⋮ Truncated solutions of Painlevé equation \({\mathrm P}_{\mathrm V}\) ⋮ Resurgence, Painlevé equations and conformal blocks

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