Constructing solutions for the generalized Henon-Heiles system through the Painleve testстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The generalized Henon-Heiles system is considered. New special solutions for two nonintegrable cases are obtained using the Painleve 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.