  We investigate the efficiency of acceleration of charged dust particles by
low-frequency Alfv\'en waves in nonlinear approximation. We show that the
longitudinal acceleration of dust particles is proportional to the square of
the soliton amplitude $O(|b_m|^2)$, while the transversal acceleration is of
$O(|b_m|)$. In the conditions of the interstellar medium the resulting velocity
of dust particles can reach 0.3 to 1 km s$^{-1}$.
