Non-integrability of Painlevé VI equations in the Liouville sense
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Publication:3396291
DOI10.1088/0951-7715/22/9/008zbMath1179.34103OpenAlexW2014593476MaRDI QIDQ3396291
Publication date: 17 September 2009
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/22/9/008
differential Galois theorysixth Painlevé equationmeromorphic first integralsnon-integrability in the Liuville senseZiglin-Ramis-Morales-Ruiz method
Related Items (6)
On linear systems and \(\tau\) functions associated with Lamé's equation and Painlevé's equation VI ⋮ 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 ⋮ Non-integrability of a class of Painlevé IV equations as Hamiltonian systems ⋮ Variations for some Painlevé equations ⋮ The holonomy group at infinity of the Painlevé VI equation
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