Geodesic
Separation of variables in the~anisotropic Shottky--Frahm model
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 3, pp. 465-486

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2018_196_3_a7,
     author = {T. V. Skrypnik},
     title = {Separation of variables in the~anisotropic {Shottky--Frahm} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {465--486},
     publisher = {mathdoc},
     volume = {196},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a7/}
}
TY  - JOUR
AU  - T. V. Skrypnik
TI  - Separation of variables in the~anisotropic Shottky--Frahm model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2018
SP  - 465
EP  - 486
VL  - 196
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a7/
LA  - ru
ID  - TMF_2018_196_3_a7
ER  - 
%0 Journal Article
%A T. V. Skrypnik
%T Separation of variables in the~anisotropic Shottky--Frahm model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2018
%P 465-486
%V 196
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a7/
%G ru
%F TMF_2018_196_3_a7
T. V. Skrypnik. Separation of variables in the~anisotropic Shottky--Frahm model. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 3, pp. 465-486. http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a7/