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We consider propagation of optical pulses under the interplay of dispersionand Kerr non-linearity in optical fibres with impurities distributed at randomuniformly on the fibre. By using a model based on the non-linear Schrodingerequation we clarify how such inhomogeneities affect different aspects such asthe number of solitons present and the intensity of the signal. We also obtainthe mean distance for the signal to dissipate to a given level.

On the effect of random inhomogeneities in Kerr-media modelled by non-linear Schrodinger equation