A system of four ODEs: the singularity analysis
Exactly Solvable and Integrable Systems
2016-09-07 v3 Mathematical Physics
Classical Analysis and ODEs
Dynamical Systems
math.MP
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 Painlev\'{e} property and does not contain the parameter.
Cite
@article{arxiv.nlin/0003039,
title = {A system of four ODEs: the singularity analysis},
author = {Sergei Yu. Sakovich},
journal= {arXiv preprint arXiv:nlin/0003039},
year = {2016}
}