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Degree of saturation determines not only the steady-state parameters of the screening solitons, but more importantly the rate of convergence of input beams to a soliton solution. For moderate saturation (I ≈ 1) this convergence is fast enough for the solitons to be observed under typical experimental conditions. On the other hand, for strong saturation convergence is much weaker, so an initial Gaussian beam exhibits long transients before evolving into a soliton [7.23]
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