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Euler-Poisson Equations and Integrable Cases

A. V. Borisov·I. S. Mamaev
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Abstract

In this paper we propose a new approach to the study of integrable cases based on intensive computer methods' application. We make a new investigation of Kovalevskaya and Goryachev-Chaplygin cases of Euler-Poisson equations and obtain many new results in rigid body dynamics in absolute space. Also we present the visualization of some special particular solutions.

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A. V. Borisov, I. S. Mamaev. 2005-02-15. Euler-Poisson Equations and Integrable Cases. https://arxiv.org/abs/nlin/0502030

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