A system of four ODEs: the singularity analysis

Abstract

The singularity analysis is carried out for a system of four first-order quadratic ODEs with a parameter, which was proposed recently by Golubchik and Sokolov. A transformation of dependent variables is revealed by the analysis, after which the transformed system possesses the Painlevé property and does not contain the parameter.

References in corpus (1)

• Symmetry, singularities and integrability in complex dynamics I: the reduction problem

Cited by in corpus (5)

• On the complete integrability and linearization of nonlinear ordinary differential equations - Part V: Linearization of coupled second order equations
• Integrability of a generalized short pulse equation revisited
• Singularity Analysis and Integrability of a Burgers-Type System of Foursov
• The Painleve Analysis and Special Solutions for Nonintegrable Systems
• A systematic method of finding linearizing transformations for nonlinear ordinary differential equations: II. Extension to coupled ODEs