  We study the behavior of the soliton which, while moving in non-dissipative
medium encounters a barrier with dissipation. The modelling included the case
of a finite dissipative layer as well as a wave passing from a dissipative
layer into a non-dissipative one and vice versa. New effects are presented in
the case of numerically finite barrier on the soliton path: first, if the form
of dissipation distribution has a form of a frozen soliton, the wave that
leaves the dissipative barrier becomes a bi-soliton and a reflection wave
arises as a comparatively small and quasi-harmonic oscillation. Second, if the
dissipation is negative (the wave, instead of loosing energy, is pumped with
it) the passed wave is a soliton of a greater amplitude and velocity. Third,
when the travelling wave solution of the KdV-Burgers (it is a shock wave in a
dissipative region) enters a non-dissipative layer this shock transforms into a
quasi-harmonic oscillation known for the KdV.
