On the Riemann-Hilbert-Birkhoff inverse monodromy problem associated with the third Painlevé equation

DOI10.1007/s11005-010-0449-6zbMath1234.34055OpenAlexW2027094227MaRDI QIDQ539079

David Niles, Alexander R. Its

Publication date: 27 May 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-010-0449-6

zbMATH Keywords

Painlevé equationsisomonodromy deformationsRiemann-Hilbert-Birkhoff problem

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items

Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem ⋮ Fredholm determinant representation of the homogeneous Painlevé II τ-function

Cites Work

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• The \(tt^*\) structure of the quantum cohomology of \(\mathbb C P^1\) from the viewpoint of differential geometry
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Painlevé property of monodromy preserving deformation equations and the analyticity of \(\tau\) functions
• Monodromy- and spectrum-preserving deformations. I
• The Painlevé III equation and the Iwasawa decomposition
• Integrable systems and isomonodromy deformations
• On the solvability of Painleve I, III and V
• The Riemann–Hilbert Problem and Inverse Scattering

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