We address the problem of soliton phase jitter caused by fiber amplifier no
ise in a communication channel. An analytical expression for phase jitter i
s derived by use of perturbation theory. In the absence of filters the vari
ance of the phase is found to be proportional to the cube of the propagatio
n distance, but it increases only linearly if in-line filters are used. We
verify with simulations that in-line filters maintain the phase jitter at a
level that is tolerable for transoceanic links. (C) 1999 Optical Society o
f America.