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

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.

References in corpus (1)

• Dressing Symmetries

Cited by in corpus (5)

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