  We review elliptic solutions to integrable nonlinear partial differential and
difference equations (KP, mKP, BKP, Toda) and derive equations of motion for
poles of the solutions. The pole dynamics is given by an integrable many-body
system (Calogero-Moser, Ruijsenaars-Schneider). The basic tool is the auxiliary
linear problems for the wave function which yield equations of motion together
with their Lax representation. We also discuss integrals of motion and
properties of the spectral curves.
