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A system of four ODEs: the singularity analysis

Sergei Yu. Sakovich
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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.

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Sergei Yu. Sakovich. 2001-04-01. A system of four ODEs: the singularity analysis. https://doi.org/10.2991/jnmp.2001.8.2.5

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