Solution of the equivalence problem for the Painlevé IV equation

DOI10.1007/s11232-012-0132-4zbMath1287.34079OpenAlexW2091362888MaRDI QIDQ393966

Vera V. Kartak

Publication date: 24 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0132-4

zbMATH Keywords

invariantsPainlevé equationspoint transformationsequivalence problem

Mathematics Subject Classification ID

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

Related Items (8)

Open problems for Painlevé equations ⋮ Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters ⋮ Linearizabiliy and Lax representations for cubic autonomous and non-autonomous nonlinear oscillators ⋮ Normal form for second order differential equations ⋮ Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds ⋮ Equivalence of second-order ordinary differential equations to Painlevé equations ⋮ ``Painlevé 34 equation: equivalence test ⋮ Point classification of second order ODEs and its application to Painlevé equations

Cites Work

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• The isomonodromic deformation method in the theory of Painlevé equations
• Linearization of second order ordinary differential equations via Cartan's equivalence method
• Equivalence classes for Emden equations
• Projective differential geometrical structure of the Painlevé equations
• Equivalence Classes of the Second Order Odes with the Constant Cartan Invariant
• On the geometry of the first and second Painlevé equations
• Is My ODE a Painlevé Equation in Disguise?

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