Second-degree Painlevé equations and their contiguity relations

DOI10.1134/S1560354714010031zbMath1333.34133OpenAlexW2078018260MaRDI QIDQ890387

Partha Guha, Alfred Ramani, Basile Grammaticos

Publication date: 10 November 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354714010031

zbMATH Keywords

Hamiltonian formalismPainlevé equationscontiguity relationssecond-order and second-degree differential equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Strongly asymmetric discrete Painlevé equations: The additive case

Cites Work

• Unnamed Item
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• On the \(\tau \)-function of the Painlevé equations
• From continuous to discrete Painlevé equations
• Differential equations with fixed critical points. II
• Differential equations with fixed critical points
• Discrete systems related to the sixth Painlevé equation
• Random matrix theory and the sixth Painlevé equation
• Second-degree discrete Painlevé equations conceal first-degree ones
• Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
• Second-order second-degree Painlevé equations related with Painlevé I–VI equations and Fuchsian-type transformations
• On a transcendental equation related to Painlevé III, and its discrete forms
• On a unified approach to transformations and elementary solutions of Painlevé equations

This page was built for publication: Second-degree Painlevé equations and their contiguity relations