Equations with prescribed curvature and deformations of the monodromy group

DOI10.1016/0167-2789(94)90039-6zbMath0813.34017OpenAlexW2006191075MaRDI QIDQ1344758

Andrei A. Kapaev

Publication date: 28 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90039-6

zbMATH Keywords

Riemann-Hilbert problemsecond Painlevé equationprescribed curvatureinverse monodromy problem 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) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• On the initial value problem of the second Painleve transcendent
• The isomonodromic deformation method in the theory of Painlevé equations
• On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results
• Monodromy- and spectrum-preserving deformations. I
• On the solvability of Painleve I, III and V
• The inverse scattering transform: Semi-infinite interval
• Integrals of nonlinear equations of evolution and solitary waves

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