On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results

DOI10.1016/0022-0396(87)90175-6zbMath0651.34058OpenAlexW2163774949MaRDI QIDQ1106387

Gilles Lebeau, Pierre Lochak

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90175-6

zbMATH Keywords

Riemann-Hilbert problemsecond Painlevé equation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Equations with prescribed curvature and deformations of the monodromy group ⋮ The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ New exact solutions of the Boussinesq equation

Cites Work

• On the initial value problem of the second Painleve transcendent
• Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent
• Painlevé property of monodromy preserving deformation equations and the analyticity of \(\tau\) functions
• Ordinary and partial differential equations. Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• The inverse scattering transform: Semi-infinite interval

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