Autosoliton communication in fibers with semiconductor amplifiers

Summary form only given. In the present paper it is shown that the dynamic system describing a fiber communication line with semiconductor amplifiers has an autosoliton solution. That is, initial noise pulses evolve to the solitary wave (autosoliton) with all parameters being fixed by medium parameters. The method that is used represents a development of the idea of autosolitons in inverted media. It is found that the considered dynamic system has a continuum of solitary wave solutions determined by a pair of parameters: propagation velocity and wave number. One of the solutions of that continuum is the solitary wave chirped hyperbolic secant. It is derived the merit of stability of the solitary waves, which is treated as their probability density under the presence of noise. Based on that it is obtained that only one of the continuum of solitary waves, which relates to the maximum of the probability density, proves to be an asymptotically stable solitary wave.