Coupled Painlev\'e II Systems in Dimension 4 and the systems of type ${A_4}^{(1)}$
Algebraic Geometry
2010-11-04 v2
Abstract
We find and study coupled Painlev\'e II systems in dimension 4, which can be obtained by a degeneration from the systems of type . 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.
Keywords
Cite
@article{arxiv.math/0505203,
title = {Coupled Painlev\'e II Systems in Dimension 4 and the systems of type ${A_4}^{(1)}$},
author = {Yusuke Sasano},
journal= {arXiv preprint arXiv:math/0505203},
year = {2010}
}
Comments
This paper has been withdrawn by the author. 14 pages, 2 figures