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arXiv · 1608.03927

Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems

Hiroshi Kawakami
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Abstract

As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlevé-type equations which includes the Painlevé-type equations associated with linear systems of ramified type. In the present paper, we consider the degeneration of Painlevé-type equations which we call the matrix Painlevé systems.

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Hiroshi Kawakami. 2017-03-26. Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems. https://arxiv.org/abs/1608.03927

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