  The effect of mutual interaction between dark solitons and dispersive waves
is investigated numerically and analytically. The condition of the resonant
scattering of dispersive waves on dark solitons is derived and compared against
the results of numerical simulations. It is shown that the interaction with
intense dispersive waves affects the dynamics of the soltons strongly changing
their frequencies and accelerating or decelerating the solitons. It is also
demonstrated that two dark solitons can form a cavity for dispersive weaves
bouncing between the two dark solitons. The differences of the resonant
scattering of the dispersive waves on the dark and bright solitons are
discussed. In particular we demonstrate that two dark solitons and dispersive
wave bouncing in between them create solitonic cavity with convex "mirrors"
unlike the concave "mirror" in case of the bright solitons.
