Abstract
We present a theory of chirped breathing pulse propagation in optical transmission systems with strong dispersion management. Fast changes of pulse width and chirp over one period are given by a simple model that is verified by direct numerical simulations. An average pulse evolution in the leading order is described by the nonlinear Schrödinger equation, with additional parabolic potential that can be a trapping (when a grating is used) or a nontrapping (without a grating) type.
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