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arXiv · 0708.0074

Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$

Kazuhide Matsuda
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Abstract

In this paper, we completely classify the raional solutions of the Noumi and Yamada system of type A_4^{(1)}, which is a generalization of the forth Painlev\'e equation. The rational solutions are classified to three types by the B\"acklund transformation group.

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Kazuhide Matsuda. 2007-08-01. Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$. https://doi.org/10.1063/1.3681867

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