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Construction of Three-Parameter Solutions for the Generalized Hénon -Heiles System with the Help of the Painlevé Testстатья
- Автор: Vernov S.Yu
- Сборник: Mathematical Physics Frontiers
- Год издания: 2004
- Место издания: Nova Science Publishers, Inc NY, USA
- Аннотация: The generalized Henon-Heiles system has been considered. In two nonintegrable cases with the help of the Painleve test new special solutions have been found as Laurent series, depending on three parameters. The obtained series converge in some ring. One of parameters determines the singularity point location, other parameters determine coefficients of series. For some values of these parameters the obtained Laurent series coincide with the Laurent series of the known exact solutions. The Painleve test can be used not only to construct local solutions as the Laurent series but also to find elliptic solutions.
- Добавил в систему: Вернов Сергей Юрьевич