A new 2D integrable system with a quartic second invariant
Exactly Solvable and Integrable Systems
2015-06-11 v1
Abstract
In the present note we introduce a new solution of this equation, lead- ing to a new integrable system with a quartic integral, which involves 16 free parameters. A special case of the new system admits interpretation in a problem of rigid body dynamics. It gives a new integrable variation of the cases due to Kovalevskaya (1889), Chaplygin (1903) Goriatchev (1916) and Yehia (2006).
Cite
@article{arxiv.1208.4829,
title = {A new 2D integrable system with a quartic second invariant},
author = {Hamad M. Yehia},
journal= {arXiv preprint arXiv:1208.4829},
year = {2015}
}
Comments
Submitted to Journal of Physics A: Mathematical and Theoretical