Non-integrability of the fourth Painlevé equation in the Liouville–Arnold sense

DOI10.1088/0951-7715/27/5/1029zbMath1298.34171OpenAlexW2332067290MaRDI QIDQ5419598

Tsvetana Stoyanova

Publication date: 10 June 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/27/5/1029

zbMATH Keywords

Hamiltonian systemdifferential Galois theoryStokes matricesPainlevé IV equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (5)

Asymptotic behavior of the fourth Painlevé transcendents in the space of initial values ⋮ Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena ⋮ Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1 ⋮ Painlevé equations, elliptic integrals and elementary functions ⋮ Variations for some Painlevé equations

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