On the Darboux integrability of the Painlevé II equations

DOI10.1080/14029251.2015.996441zbMath1420.37078OpenAlexW2008272561MaRDI QIDQ5230974

Claudia Valls, Jaume Llibre

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/145372

zbMATH Keywords

Hamiltonian systemsDarboux integrabilitypainleve transcendents

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

Darboux integrability of the simple chaotic flow with a line equilibria differential system ⋮ On the Darboux integrability of a three–dimensional forced–damped differential system

Cites Work

• Multiplicity of invariant algebraic curves in polynomial vector fields
• Polynomial Hamiltonians associated with Painleve equations. I
• Darboux Integrability of a Simplified Friedman–Robertson–Walker Hamiltonian System
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