Abstract
The theory of soliton formation in the vicinity of the sharp front of a light pulse propagating in a two-level resonant medium is developed. The process is described in terms of the modulational Whitham theory applied to the periodic solution of the self-induced transparency (SIT) equations. The self-similar solution of the Whitham equations is obtained corresponding to the decay of a step-like pulse. It is shown that this solution generalizes the cases of the NLS equation and the AB system studied earlier.
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