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20 April 2024
 
  » arxiv » nlin.SI/0003039

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A system of four ODEs: the singularity analysis
Sergei Yu. Sakovich ;
Date 17 Mar 2000
Journal J. Nonlinear Math. Phys. 8 (2001) 217-219
Subject Exactly Solvable and Integrable Systems; Mathematical Physics; Dynamical Systems; Classical Analysis and ODEs | nlin.SI math-ph math.CA math.DS math.MP
AbstractThe 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.
Source arXiv, nlin.SI/0003039
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