Abstract
We suggest to use a soliton with Gaussian tails as an information carrier in optical transmission systems with in-line phase modulators. An average (distributed) effect of the in-line phase modulation manifests itself in creation of the effective parabolic potential that can be of trapping or nontrapping type. In the case of trapping potential, a steady-state pulse is an intermediate state between the sech-type soliton of the nonlinear Schrödinger equation (NLSE) and the Gaussian pulse. Properties of such a soliton have been examined. The same carrier pulse with Gaussian tails can be formed in fibre dispersion-managed systems using an additional grating. A non-trapping potential leads to the occurrence of oscillating tails resembling the structure of the breathing soliton in optical transmission systems with strong dispersion management.
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