On two nonintegrable cases of the generalized Henon-Heiles system with an additional nonpolynomial term
Mathematical Physics
2013-06-18 v1 Astrophysics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The generalized Henon-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 search of the elliptic solutions and allows to automatize it.
Keywords
Cite
@article{arxiv.math-ph/0402049,
title = {On two nonintegrable cases of the generalized Henon-Heiles system with an additional nonpolynomial term},
author = {E. I. Timoshkova and S. Yu. Vernov},
journal= {arXiv preprint arXiv:math-ph/0402049},
year = {2013}
}
Comments
LaTeX2e, 12pp