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

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