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

Abstract

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

This paper has been withdrawn by the author. 14 pages, 2 figures

References in corpus (1)

• An augmentation of the phase space of the system of type A^{(1)}_4