English

On integrable system on $S^2$ with the second integral quartic in the momenta

Exactly Solvable and Integrable Systems 2009-11-10 v1

Abstract

We consider integrable system on the sphere S2S^2 with an additional integral of fourth order in the momenta. At the special values of parameters this system coincides with the Kowalevski-Goryachev-Chaplygin system.

Keywords

Cite

@article{arxiv.nlin/0410063,
  title  = {On integrable system on $S^2$ with the second integral quartic in the momenta},
  author = {A. V. Tsiganov},
  journal= {arXiv preprint arXiv:nlin/0410063},
  year   = {2009}
}

Comments

LaTeX, 6 pages

R2 v1 2026-07-22T18:12:57.421Z