English

On Classical r-Matrix for the Kowalevski Gyrostat on so(4)

Exactly Solvable and Integrable Systems 2010-06-22 v2 Mathematical Physics math.MP

Abstract

We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).

Keywords

Cite

@article{arxiv.nlin/0512054,
  title  = {On Classical r-Matrix for the Kowalevski Gyrostat on so(4)},
  author = {Igor V. Komarov and Andrey V. Tsiganov},
  journal= {arXiv preprint arXiv:nlin/0512054},
  year   = {2010}
}

Comments

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/