Dark-soliton propagation in fibers is investigated simulatively, in the case of its dissipative damping is periodically compensated by using optical fiber amplifiers. Selfexcited noises will grow on bright backgrounds of dark-soliton pairs when they are propagating in the system. Employing of Fabry-Perot filters matched with optical fiber amplifiers can eliminate the noise and support long-distance stational propagation of dark solitons.