Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-05-26
Nonlinear Sciences
Exactly Solvable and Integrable Systems
16 pages, 3 figures, to appear in J. Mod. Optics
Scientific paper
10.1080/09500340600829267
A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation having a nonlinearity dispersion term. By means of the Riemann--Hilbert problem, a perturbation theory for the soliton of the modified NLS equation is developed. It is shown in the adiabatic approximation that there exists a unique possibility to suppress the perturbation-induced shift of the soliton centre at the cost of proper matching of the soliton width and nonlinearity dispersion parameter. In the next-order approximation, the spectral density of the radiation power emitted by a soliton is calculated.
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