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Coupled Painlevé II Systems in Dimension 4 and the systems of type ${A_4}^{(1)}$

Yusuke Sasano
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Abstract

We find and study coupled Painlevé II systems in dimension 4, which can be obtained by a degeneration from the systems of type ${A_4}^{(1)}$. We compare these systems with other types of coupled Painlevé II systems from the viewpoint of the local index. We also give the phase spaces for these systems.

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BibTeXRIS

Yusuke Sasano. 2010-10-23. Coupled Painlevé II Systems in Dimension 4 and the systems of type ${A_4}^{(1)}$. https://arxiv.org/abs/math/0505203

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