Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 2, May 2001, Pages 217 - 219

A System of Four ODEs: The Singularity Analysis

Authors
S. Yu. Sakovich
Corresponding Author
S. Yu. Sakovich
Received 23 November 2000, Revised 29 November 2000, Accepted 10 January 2001, Available Online 1 May 2001.
DOI
10.2991/jnmp.2001.8.2.5How to use a DOI?
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 transfomation of dependent variables is revealed by the analysis, after which the transformed system possesses the Painlevé property and does not contain the parameter.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 2
Pages
217 - 219
Publication Date
2001/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.2.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - S. Yu. Sakovich
PY  - 2001
DA  - 2001/05/01
TI  - A System of Four ODEs: The Singularity Analysis
JO  - Journal of Nonlinear Mathematical Physics
SP  - 217
EP  - 219
VL  - 8
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.2.5
DO  - 10.2991/jnmp.2001.8.2.5
ID  - Sakovich2001
ER  -