Variations for some Painlevé equations
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Publication:2280427
DOI10.3842/SIGMA.2019.088zbMath1429.33034arXiv1705.07625MaRDI QIDQ2280427
Primitivo Belén Acosta-Humánez, Jaap Top, Marius van der Put
Publication date: 18 December 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.07625
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)
Related Items
Classical solutions of the degenerate fifth Painlevé equation ⋮ Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena
Cites Work
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- On algebraic relations between solutions of a generic Painlevé equation
- Non-integrability of some Painlevé VI-equations and dilogarithms
- Moduli spaces for linear differential equations and the Painlevé equations
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- First order algebraic differential equations. A differential algebraic approach
- Galoisian obstructions to integrability of Hamiltonian systems. I.
- Galoisian methods for testing irreducibility of order two nonlinear differential equations
- Special polynomials associated with rational solutions of the fifth Painlevé equation
- Painlevé differential equations in the complex plane
- Painlevé equations, elliptic integrals and elementary functions
- Equivalence of differential equations of order one
- Order one equations with the Painlevé property
- Isomonodromy for the degenerate fifth Painlevé equation
- Non-Integrability of Painlevé V Equations in the Liouville Sense and Stokes Phenomenon
- Birational automorphism groups and differential equations
- Non-integrability of Painlevé VI equations in the Liouville sense
- Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
- Non-integrability of the second Painleve equation as a Hamiltonian system
- Nonautonomous Hamiltonian Systems and Morales–Ramis Theory I. The Case $\ddot{x}=f(x,t)$
- Second proof of the irreducibility of the first differential equation of painlevé
- Solutions of the second and fourth Painlevé equations, I
- R. Fuchs’ problem of the Painlevé equations from the first to the fifth
- Non-integrability of the fourth Painlevé equation in the Liouville–Arnold sense