Integrable systems on the sphere associated with genus three algebraic curves
Exactly Solvable and Integrable Systems
2015-05-30 v1 Mathematical Physics
math.MP
Abstract
New variables of separation for few integrable systems on the two-dimensional sphere with higher order integrals of motion are considered in detail. We explicitly describe canonical transformations of initial physical variables to the variables of separation and vice versa, calculate the corresponding quadratures and discuss some possible integrable deformations of initial systems.
Cite
@article{arxiv.1109.1629,
title = {Integrable systems on the sphere associated with genus three algebraic curves},
author = {A. V. Tsiganov and V. A. Khudobakhshov},
journal= {arXiv preprint arXiv:1109.1629},
year = {2015}
}
Comments
19 pages, LaTeX with AMS fonts