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## Об интегрируемости деформированной системы Руйсенарса–Шнайдера

We find integrals of motion for the recently introduced

deformed Ruijsenaars–Schneider many-body system, which is the dynami-

cal system for poles of elliptic solutions to the Toda lattice with constraint

of type B. Our method is based on the fact that the equations of motion

for this system coincide with those for pairs of Ruijsenaars–Schneider par-

ticles which stick together preserving a special fixed distance between the

particles. We also obtain B¨acklund transformations and integrable time dis-

cretization of the deformed Ruijsenaars–Schneider system, which is shown

to be the dynamical system for poles of elliptic solutions to the fully discrete

Kadomtsev–Petviashvili equation of type B. In additon, we propose a field

analogue of the deformed Ruijsenaars–Schneider system on a space-time

lattice.