Asymptotic Series for Some Painlev\'E VI Solutions
经典分析与常微分方程
2007-05-23 v1 代数几何
摘要
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.
引用
@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}
}
备注
11 pages, LaTeX