Perturbation theory for the modified nonlinear Schr{ö}dinger solitons

Details Perturbation theory for the modified nonlinear Schr{ö}dinger solitons Perturbation theory for the modified nonlinear Schr{ö}dinger solitons

1998-01-14

arxiv.org/abs/solv-int/9801016v1

Nonlinear Sciences

Pattern Formation and Solitons

22 pages, Latex, no figures. Submitted to Physica D

Scientific paper

10.1016/S0167-2789(98)00209-7

The perturbation theory based on the Riemann-Hilbert problem is developed for the modified nonlinear Schr{\"o}dinger equation which describes the propagation of femtosecond optical pulses in nonlinear single-mode optical fibers. A detailed analysis of the adiabatic approximation to perturbation-induced evolution of the soliton parameters is given. The linear perturbation and the Raman gain are considered as examples.

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