A system of four ODEs: the singularity analysis

Details A system of four ODEs: the singularity analysis A system of four ODEs: the singularity analysis

2000-03-17

arxiv.org/abs/nlin/0003039v3

J. Nonlinear Math. Phys. 8 (2001) 217-219

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.2991/jnmp.2001.8.2.5

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 Painlev\'{e} property and
does not contain the parameter.

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