A simple proof of the non-integrability of the first and the second Painlevé equations

DOI10.4064/bc94-0-20zbMath1242.34156OpenAlexW2322482744MaRDI QIDQ3112349

Henryk Żołądek

Publication date: 13 January 2012

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc94-0-20

zbMATH Keywords

Painlevé equationsequation in variationsintegrability in Liouville-Arnold sense

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)

Related Items (1)

Painlevé equations, elliptic integrals and elementary functions

This page was built for publication: A simple proof of the non-integrability of the first and the second Painlevé equations