  We have shown that the wave scattering by a soliton occurs in a peculiar way.
The nonlinear interaction leads to the generation of waves with frequencies
that are multiples of the frequency of the incident wave, minus the frequency
of the soliton, while the soliton experiences growth due to the absorption of
particles from the incoming wave. We propose an analytical approach based on
the Born approximation to calculate the amplitudes of scattered waves and,
consequently, the number of particles absorbed by the soliton. This approach is
validated through direct comparison with the results of numerical simulation.
