Schlesinger transformations for Painlevé VI equation

DOI10.1063/1.531121zbMath0823.34005OpenAlexW2069361701MaRDI QIDQ4836818

Uğurhan Muğan, Ayman Hashem Sakka

Publication date: 30 October 1995

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

Full work available at URL: https://semanticscholar.org/paper/073f451e6100a5ee32d073638147fe7caf5071f6

zbMATH Keywords

Riemann-Hilbert problemPainlevé VI equationmonodromy dataSchlesinger transformations

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)

Related Items (10)

Second-order second-degree Painlevé equations related with Painlevé I–VI equations and Fuchsian-type transformations ⋮ Application of theτ-function theory of Painlevé equations to random matrices:P_VI, the JUE, CyUE, cJUE and scaled limits ⋮ Moyal Deformation of 2D Euler Equation and Discretization ⋮ A bilinear approach to discrete Miura transformations. ⋮ Schlesinger transformations for algebraic Painlevé VI solutions ⋮ Schlesinger transformations for discrete second Painlevé equation: d-\(P_{II}\) ⋮ Transformations of ordinary differential equations via Darboux transformation technique ⋮ New contiguity relation of the sixth Painlevé equation from a truncation ⋮ Bethe ansatz and isomondromy deformations ⋮ Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations

Cites Work

• On the initial value problem of the second Painleve transcendent
• Quadratic transformations for the sixth Painlevé equation
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
• A method of linearization for Painlevé equations: Painlevé IV, V
• Monodromy- and spectrum-preserving deformations. I
• On the solvability of Painlevé II and IV
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• On the solvability of Painleve I, III and V
• Schlesinger transformations of Painlevé II-V
• On a unified approach to transformations and elementary solutions of Painlevé equations

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