Journal of Nonlinear Mathematical Physics

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Volume 7, Issue 4, November 2000, Pages 445 - 479

Symmetry, Singularities and Integrability in Complex Dynamics I: The Reduction Problem

Authors
P.G.L. Leach, S. Cotsakis, G.P. Flessas
Corresponding Author
P.G.L. Leach
Received 3 February 2000, Revised 12 May 2000, Accepted 13 May 2000, Available Online 1 November 2000.
DOI
10.2991/jnmp.2000.7.4.5How to use a DOI?
Abstract

Quadratic systems generated using Yang-Baxter equations are integrable in a sense, but we display a deterioration in the possession of the Painlevé property as the number of equations in each `integrable system' increases. Certain intermediate systems are constructed and also tested for the Painlevé property. The Lie symmetries are also computed for completeness.

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
7 - 4
Pages
445 - 479
Publication Date
2000/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2000.7.4.5How 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

risenwbib
TY  - JOUR
AU  - P.G.L. Leach
AU  - S. Cotsakis
AU  - G.P. Flessas
PY  - 2000
DA  - 2000/11/01
TI  - Symmetry, Singularities and Integrability in Complex Dynamics I: The Reduction Problem
JO  - Journal of Nonlinear Mathematical Physics
SP  - 445
EP  - 479
VL  - 7
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2000.7.4.5
DO  - 10.2991/jnmp.2000.7.4.5
ID  - Leach2000
ER  -