Abstract
The evolution of a long light pulse with the sharp front in a nonlinear optical fiber is investigated analytically. The Whitham method of slow modulation of a nonlinear periodic wave is used for the description of soliton formation. It is shown that the self-steepening nonlinearity in the generalized nonlinear Schrödinger equation considerably influences this process. The time of soliton formation and the number of created solitons as functions of fiber length are estimated.
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