Geodesic
Integrable system of generalized relativistic interacting tops
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 55-67

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We describe a family of integrable $GL(NM)$ models generalizing classical spin Ruijsenaars–Schneider systems (the case $N=1$) on one hand and relativistic integrable tops on the $GL(N)$ Lie group (the case $M=1$) on the other hand. We obtain the described models using the Lax pair with a spectral parameter and derive the equations of motion. To construct the Lax representation, we use the $GL(N)$ $R$-matrix in the fundamental representation of $GL(N)$.
Keywords: elliptic integrable system, spin Ruijsenaars–Schneider model, integrable interacting tops. 
@article{TMF_2020_205_1_a3,
     author = {I. A. Sechin and A. V. Zotov},
     title = {Integrable system of generalized relativistic interacting tops},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {55--67},
     publisher = {mathdoc},
     volume = {205},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a3/}
}
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I. A. Sechin; A. V. Zotov. Integrable system of generalized relativistic interacting tops. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 55-67. http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a3/