arXiv · 0705.4540
Coupled Painlevé systems with affine Weyl group symmetry of types $D_3^{(2)}$ and $D_5^{(2)}$
Abstract
In this paper, we find a two-parameter family of coupled Painlevé systems in dimension four with affine Weyl group symmetry of type $D_3^{(2)}$. We also find a four-parameter family of 2-coupled $D_3^{(2)}$-systems in dimension eight with affine Weyl group symmetry of type $D_5^{(2)}$. We show that for each system, we give its symmetry and holomorphy conditions, respectively. These symmetries, holomorphy conditions and invariant divisors are new.
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Yusuke Sasano. 2009-11-13. Coupled Painlevé systems with affine Weyl group symmetry of types $D_3^{(2)}$ and $D_5^{(2)}$. https://arxiv.org/abs/0705.4540
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