Symmetries in the system of type $D_4^{(1)}$

Mathematics – Algebraic Geometry

Scientific paper

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4 pages, 1 figure

Scientific paper

In this paper, we propose a 4-parameter family of coupled Painlev\'e III
systems in dimension four with affine Weyl group symmetry of type $D_4^{(1)}$.
We also propose its symmetric form in which the $D_4^{(1)}$-symmetries become
clearly visible.

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