Asymptotic Series for Some Painlev\'E VI Solutions
Classical Analysis and ODEs
2007-05-23 v1 Algebraic Geometry
Abstract
The paper concerns asymptotic studies for the sixth Painlev\'e transcendent as independent variable tends to infinity. The primary tool is averaging and the Whitham method. Elliptic ansatz, appropriate modulation equation and asymptotics for some partial solution to PVI are found.
Cite
@article{arxiv.math/9909162,
title = {Asymptotic Series for Some Painlev\'E VI Solutions},
author = {V. L. Vereschagin},
journal= {arXiv preprint arXiv:math/9909162},
year = {2007}
}
Comments
11 pages, LaTeX