  We study the behavior of the soliton which, while moving in non-dissipative
medium encounters a barrier with finite dissipation. The modelling included the
case of a finite dissipative layer similar to a wave passing through the
air-glass-air as well as a wave passing from a non-dissipative layer into a
dissipative one (similar to the passage of light from air to water).
  The dissipation predictably results in reducing the soliton
amplitude/velocity, but some new effects occur in the case of finite barrier on
the soliton path: after the wave leaves the dissipative barrier it retains a
soliton form, yet a reflection wave arises as small and quasi-harmonic
oscillations (a breather). The breather spreads faster than the soliton as
moves through the barrier.

Pattern Formation and Solitons;Exactly Solvable and Integrable Systems