Stochastic perturbations of optical solitons

The problem of optical soliton propagation in the presence of a stochastic perturbation is considered. Two distinct types of stochasticity are distinguished, termed inhomogeneous and homogeneous. For the latter, the appropriate evolution equations for the soliton parameters (the amplitude eta and velocity K) are derived. These are shown to be of the multiplicative Langevin type and are then briefly discussed. Comparison is made with similar studies elsewhere.

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