Constructing Solutions for the Generalized Hénon–Heiles System Through the Painlevé Test

被引：0
|
作者：
S. Yu. Vernov
机构：
[1] Moscow State University,Skobeltsyn Institute of Nuclear Physics
来源：
Theoretical and Mathematical Physics | 2003年 / 135卷
关键词：
nonintegrable systems; Painlevé test; singularity analysis; polynomial potential; Hénon–Heiles system; Laurent series; elliptic functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The generalized Hénon–Heiles system is considered. New special solutions for two nonintegrable cases are obtained using the Painlevé test. The solutions have the form of the Laurent series depending on three parameters. One parameter determines the singularity-point location, and the other two parameters determine the coefficients in the Laurent series. For certain values of these two parameters, the series becomes the Laurent series for the known exact solutions. It is established that such solutions do not exist in other nonintegrable cases.
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页码：792 / 801
页数：9
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