Аннотация:Using
the adiabatic approximation
we
consider
the
process
of
the
nonlinear propagation
of
a
basic
optical soliton
in a
fiber
with
a
cubic
nonlinearity and
losses.
The latter are
compensated
by
periodic
or distributed
amplification with
a
band width
comparable
to
the
width
of
the
soliton
spectrum.
We
obtain
analytical
expressions describing
the
evolution
of
the
dispersions
of
the
fluctuations
in
the
momentum
and in
the
position
of
the
soliton
peak.
We
establish
that
when
the
amplification band width
and
the
width
of
the
soliton
spectrum are
approximately equal
they
are
very
close
to the quantum
momentum-
coordinate
indeterminacy
relations
of
a
basic
soliton
propagating
in
an
ideal
lossless
nonlinear
waveguide.
We
give
the
correction to the Gordon-Haus quantum
limit
taking
into
account
the
frequency
drag
of
the
soliton
carrier
frequency
under
the
amplification
line
contour