Perturbation theory for the modified nonlinear Schr{\"o}dinger solitons
solv-int
2009-10-31 v1 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
patt-sol
Abstract
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.
Cite
@article{arxiv.solv-int/9801016,
title = {Perturbation theory for the modified nonlinear Schr{\"o}dinger solitons},
author = {V. S. Shchesnovich and E. V. Doktorov},
journal= {arXiv preprint arXiv:solv-int/9801016},
year = {2009}
}
Comments
22 pages, Latex, no figures. Submitted to Physica D