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Symmetry, singularities and integrability in complex dynamics I: the reduction problem

Peter Leach·Spiros Cotsakis·George P. Flessas
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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.

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Peter Leach, Spiros Cotsakis, George P. Flessas. 2000-10-01. Symmetry, singularities and integrability in complex dynamics I: the reduction problem. https://doi.org/10.2991/jnmp.2000.7.4.4

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