Uniform-in-Time Approximation of Calogero-Moser Particles by Continuum Multisolitons
We prove that every solution of the classical rational Calogero-Moser system can be approximated, after subtracting a common linear drift from the particle positions, by rational multisoliton solutions of the focusing continuum Calogero-Moser equation, uniformly for all time. The construction identifies the multisolito...