Separation of variables and B\"acklund transformations for the symmetric Lagrange top
Exactly Solvable and Integrable Systems
2009-11-10 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We construct the 1- and 2-point integrable maps (B\"acklund transformations) for the symmetric Lagrange top. We show that the Lagrange top has the same algebraic Poisson structure that belongs to the Gaudin magnet. The 2-point map leads to a real time-discretization of the continuous flow. Therefore, it provides an integrable numerical scheme for integrating the physical flow. We illustrate the construction by few pictures of the discrete flow calculated in MATLAB.
Keywords
Cite
@article{arxiv.nlin/0403028,
title = {Separation of variables and B\"acklund transformations for the symmetric Lagrange top},
author = {Vadim B. Kuznetsov and Matteo Petrera and Orlando Ragnisco},
journal= {arXiv preprint arXiv:nlin/0403028},
year = {2009}
}
Comments
19 pages, 2 figures, Matlab program