Geodesic
Relativistic interacting integrable elliptic tops
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 2, pp. 175-192

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

We propose a relativistic generalization of integrable systems describing $M$ interacting elliptic $gl(N)$ Euler–Arnold tops. The obtained models are elliptic integrable systems that reproduce the spin elliptic $GL(M)$ Ruijsenaars–Schneider model with $N=1$ and relativistic integrable $GL(N)$ elliptic tops with $M=1$. We construct the Lax pairs with a spectral parameter on the elliptic curve.
Keywords: elliptic integrable system, spin Ruijsenaars–Schneider model, integrable top. 
@article{TMF_2019_201_2_a2,
     author = {A. V. Zotov},
     title = {Relativistic interacting integrable elliptic tops},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {175--192},
     publisher = {mathdoc},
     volume = {201},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_201_2_a2/}
}
TY  - JOUR
AU  - A. V. Zotov
TI  - Relativistic interacting integrable elliptic tops
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2019
SP  - 175
EP  - 192
VL  - 201
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2019_201_2_a2/
LA  - ru
ID  - TMF_2019_201_2_a2
ER  - 
%0 Journal Article
%A A. V. Zotov
%T Relativistic interacting integrable elliptic tops
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2019
%P 175-192
%V 201
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2019_201_2_a2/
%G ru
%F TMF_2019_201_2_a2
A. V. Zotov. Relativistic interacting integrable elliptic tops. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 2, pp. 175-192. http://geodesic.mathdoc.fr/item/TMF_2019_201_2_a2/