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arXiv · 0808.1401

Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $E_6^{(2)}$

Yusuke Sasano
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Abstract

We find a four-parameter family of coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $E_6^{(2)}$. This is the first example which gave higher order Painlevé type systems of type $E_{6}^{(2)}$. We study its symmetry and holomorphy conditions.

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Yusuke Sasano. 2009-11-07. Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $E_6^{(2)}$. https://arxiv.org/abs/0808.1401

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