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

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

2000-11-02

arxiv.org/abs/nlin/0011001v2

J. Nonlinear Math. Phys. 7 (2000), no. 4, 445-479

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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

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