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arxiv: nlin/0502030 · v1 · submitted 2005-02-15 · 🌊 nlin.CD · nlin.SI

Euler-Poisson Equations and Integrable Cases

classification 🌊 nlin.CD nlin.SI
keywords casesequationseuler-poissonintegrableabsoluteapplicationapproachbody
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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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