Abstract
Soliton of the modified Schrödinger equation which describes the propagation of femtosecond optical pulses in nonlinear optical fibers is studied in the presence of random perturbations. Two cases are considered-an initial random perturbation and a multiplicative noise. A perturbation theory based on the inverse scattering transform is used. Spectral distribution of the emitted radiation and statistical characteristics of the soliton parameters are obtained.
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