The notion of principally tame regular sequences is introduced for systems of polynomials with a weight vector. As an application, construction of formal solutions is discussed for the systems of nonlinear differential equations which belong to the fourth Painlevé hierarchy with a large parameter.
Publié le : 2008-03-15
Classification:
Regular sequences,
the exact WKB analysis,
Painlevé hierarchies,
34E05,
34E13,
34E15
@article{1204555684,
author = {Aoki, Takashi and Honda, Naofumi},
title = {Principally tame regular sequences associated with the fourth Painlev\'e hierarchy with a large parameter},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {84},
number = {1},
year = {2008},
pages = { 42-47},
language = {en},
url = {http://dml.mathdoc.fr/item/1204555684}
}
Aoki, Takashi; Honda, Naofumi. Principally tame regular sequences associated with the fourth Painlevé hierarchy with a large parameter. Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, pp. 42-47. http://gdmltest.u-ga.fr/item/1204555684/