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arXiv · 0704.2863

On some Hamiltonian structures of coupled Painlevé II systems in dimension four

Yusuke Sasano
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Abstract

We find and study a two-parameter family of coupled Painlevé II systems in dimension four with affine Weyl group symmetry of several types. Moreover, we find a three-parameter family of polynomial Hamiltonian systems in two variables $t,s$. Setting $s=0$, we can obtain an autonomous version of the coupled Painlevé II systems. We also show its symmetry and holomorphy conditions.

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Yusuke Sasano. 2011-01-06. On some Hamiltonian structures of coupled Painlevé II systems in dimension four. https://arxiv.org/abs/0704.2863

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