Relations between different Hamiltonian forms of the third Painlevé equation

DOI10.1090/conm/782/15720OpenAlexW3213831001MaRDI QIDQ5886530

Alexander Stokes, Adam Ligȩza, Galina Filipuk

Publication date: 5 April 2023

Published in: Recent Trends in Formal and Analytic Solutions of Diff. Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09812

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Cites Work

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• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Polynomial Hamiltonians associated with Painleve equations. I
• Polynomial Hamiltonians associated with Painleve equations. II: Differential equations satisfied by polynomial Hamiltonians
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Painlevé equations, elliptic integrals and elementary functions
• Geometric aspects of Painlevé equations
• On Some Hamiltonian Properties of the Isomonodromic Tau Functions

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