Abstract
The generalized Hénon-Heiles system with an additional nonpolynomial term has been considered. In two nonintegrable cases with the help of the Painlevé test new special solutions have been found as converging Laurent series, depending on three parameters. For some values of these parameters the obtained Laurent series coincide with the Laurent series of the known elliptic solutions. The calculations have been made with use of computer algebra system REDUCE. The obtained local solutions can assist to find the elliptic three parameters solutions. The corresponding algorithm has been realized in REDUCE and Maple. © Springer-Verlag Berlin Heidelberg 2004.
Cite
CITATION STYLE
Vernov, S. Y. (2004). Construction of solutions for nonintegrable systems with the help of the Painlevé test. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3039, 382–387. https://doi.org/10.1007/978-3-540-25944-2_50
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