S. Kovalevskaya system, its generalization and discretization
Mathematical Physics
2014-03-13 v1 Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider an integrable three-dimensional system of ordinary differential equations introduced by S.V. Kovalevskaya in a letter to G. Mittag-Leffler. We prove its isomorphism with the three-dimensional Euler top, and propose two integrable discretizations for it. Then we present an integrable generalization of the Kovalevskaya system, and study the problem of integrable discretization for this generalized system.
Keywords
Cite
@article{arxiv.1208.3726,
title = {S. Kovalevskaya system, its generalization and discretization},
author = {Matteo Petrera and Yuri B. Suris},
journal= {arXiv preprint arXiv:1208.3726},
year = {2014}
}
Comments
15 pages