B\"acklund transformations for the nonholonomic Veselova system
Exactly Solvable and Integrable Systems
2017-03-23 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We present auto and hetero B\"acklund transformations of the nonholonomic Veselova system using standard divisor arithmetic on the hyperelliptic curve of genus two. As a by-product one gets two natural integrable systems on the cotangent bundle to the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.
Cite
@article{arxiv.1703.04251,
title = {B\"acklund transformations for the nonholonomic Veselova system},
author = {A V Tsiganov},
journal= {arXiv preprint arXiv:1703.04251},
year = {2017}
}
Comments
16 pages, 3 figures, LaTeX with AMSfonts