Coupled Painlev\'e VI systems in dimension four with affine Weyl group symmetry of type E6(2)
Abstract
We find a four-parameter family of coupled Painlev\'e VI systems in dimension four with affine Weyl group symmetry of type E6(2). This is the first example which gave higher order Painlev\'e type systems of type E6(2). We study its symmetry and holomorphy conditions.
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