The Painleve Analysis and Special Solutions for Nonintegrable Systems
数学物理
2007-05-23 v2 天体物理学
动力系统
math.MP
可精确求解与可积系统
摘要
The H\'enon--Heiles system in the general form is studied. In a nonintegrable case new solutions have been found as formal Laurent series, depending on three parameters. One of parameters determines a location of the singularity point, other parameters determine coefficients of the Laurent series. For some values of these two parameters the obtained Laurent series coincide with the Laurent series of the known exact solutions.
引用
@article{arxiv.math-ph/0203003,
title = {The Painleve Analysis and Special Solutions for Nonintegrable Systems},
author = {S. Yu. Vernov},
journal= {arXiv preprint arXiv:math-ph/0203003},
year = {2007}
}
备注
LaTeX2e, 14 pp