On two nonintegrable cases of the generalized Hénon-Heiles system

被引：0

作者：

S. Yu. Vernov

E. I. Timoshkova

机构：

[1] Moscow State University,Skobeltsyn Institute of Nuclear Physics

[2] Central Astronomical Observatory at Pulkovo,undefined

来源：

Physics of Atomic Nuclei | 2005年 / 68卷

关键词：

Singularity Analysis; Elementary Particle; Series Solution; Elliptic Function; Laurent Series;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The generalized Hénon-Heiles system with an additional nonpolynomial term is considered. In two nonintegrable cases, new two-parameter solutions have been obtained in terms of elliptic functions. These solutions generalize the known one-parameter solutions. The singularity analysis shows that it is possible that three-parameter single-valued solutions exist in these two nonintegrable cases. The knowledge of the Laurent series solutions simplifies searches for the elliptic solutions and allows them to be automatized.

引用

页码：1947 / 1955

页数：8

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