T. V. Skrypnik, “Separation of variables in the anisotropic Shottky–Frahm model”, TMF, 2018, Volume 196, Number 3,Pages <nobr>465

This article is cited in 2 papers

Separation of variables in the anisotropic Shottky–Frahm model

T. V. Skrypnik^ab

^a University of Milano--Bicocca, Milano, Italy
^b Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine

Abstract: We construct separated coordinates for the completely anisotropic Shottky–Frahm model on an arbitrary coadjoint orbit of $SO(4)$. We find explicit reconstruction formulas expressing dynamical variables in terms of the separation coordinates and write the equations of motion in the Abel-type form.

Keywords: integrable system, separation of variables, classical top.

MSC: 17B80;70H06;14H70

Received: 29.09.2017
Revised: 11.10.2017

DOI: 10.4213/tmf9470