Brownian motion of spatial solitons
| Spatial solitons are localized excitations of electromagnetic field. In some cases, for example in optical cavity, the position of spatial soliton is affected by phase inhomogeneties. The trajectories of spatial soliton are disturbed by noisy kicks: |
Spatiotemporal evolution of spatial solitons is governed by generalized
Ginzburg - Landau equation on random background:  The phase inhomogeneties  are supposed to be
Rayleigh random field :
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