EVOLUTION OF RANDOMLY MODULATED SOLITONS IN OPTICAL FIBERS

The influence of initial amplitude and phase random modulation on the soliton propagation in optical fibers is investigated. The soliton amp litude and velocity distribution functions are calculated, It is shown that the amplitude distribution function has a non-Gaussian form wher eas the distribution function of the velocity can have either a Gaussi an or a non-Gaussian form depending on the statistical properties of t he initial noise. The statistical characteristics for the soliton para meters are calculated. The analytical results agree well with previous numerical studies.