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

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

2005-05-11

arxiv.org/abs/math/0505203v2

Tohoku Math. J. 58 (2006), 529-548

Mathematics

Algebraic Geometry

This paper has been withdrawn by the author. 14 pages, 2 figures

Scientific paper

We find and study coupled Painlev\'e 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 Painlev\'e II systems from the
viewpoint of the local index. We also give the phase spaces for these systems.

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