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arXiv · 0704.2393

Symmetry in the Painlevé systems and their extensions to four-dimensional systems

Yusuke Sasano
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Abstract

We give a new approach to the symmetries of the Painlevé equations $P_{V},P_{IV},P_{III}$ and $P_{II}$, respectively. Moreover, we make natural extensions to fourth-order analogues for each of the Painlevé equations $P_{V}$ and $P_{III}$, respectively, which are natural in the sense that they preserve the symmetries.

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Yusuke Sasano. 2007-04-18. Symmetry in the Painlevé systems and their extensions to four-dimensional systems. https://arxiv.org/abs/0704.2393

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