  We study transmission stabilization against radiation emission in
soliton-based nonlinear optical waveguides with weak linear gain-loss, cubic
loss, and delayed Raman response. We show by numerical simulations with
perturbed nonlinear Schr\"odinger propagation models that transmission quality
in waveguides with frequency independent linear gain and cubic loss is not
improved by the presence of delayed Raman response due to the lack of an
efficient mechanism for suppression of radiation emission. In contrast, we find
that the presence of delayed Raman response leads to significant enhancement of
transmission quality in waveguides with frequency dependent linear gain-loss
and cubic loss. Enhancement of transmission quality in the latter waveguides is
enabled by the separation of the soliton's spectrum from the radiation's
spectrum due to the Raman-induced self-frequency shift and by efficient
suppression of radiation emission due to the frequency dependent linear
gain-loss. Further numerical simulations demonstrate that the enhancement of
transmission quality in waveguides with frequency dependent linear gain-loss,
cubic loss, and delayed Raman response is similar to transmission quality
enhancement in waveguides with linear gain, cubic loss, and guiding filters
with a varying central frequency.
