English

Euler-Poisson Equations and Integrable Cases

Chaotic Dynamics 2007-05-23 v1 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.nlin/0502030,
  title  = {Euler-Poisson Equations and Integrable Cases},
  author = {A. V. Borisov and I. S. Mamaev},
  journal= {arXiv preprint arXiv:nlin/0502030},
  year   = {2007}
}

Comments

24 pages, 27 figures