We find and study a 3-parameter family of coupled Painlevé III systems in dimension four, which can be obtained by a degeneration from the system of type $A_{5}^{(1)}$. We also give the phase space for this system.
Publié le : 2007-05-15
Classification:
34M55,
32Sxx,
34M45,
37Jxx
@article{1250281045,
author = {Sasano, Yusuke},
title = {The phase space of coupled Painlev\'e III system in dimension four},
journal = {J. Math. Kyoto Univ.},
volume = {47},
number = {3},
year = {2007},
pages = { 223-245},
language = {en},
url = {http://dml.mathdoc.fr/item/1250281045}
}
Sasano, Yusuke. The phase space of coupled Painlevé III system in dimension four. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp. 223-245. http://gdmltest.u-ga.fr/item/1250281045/