Noise-induced perturbations of dispersion-managed solitons

Details Noise-induced perturbations of dispersion-managed solitons Noise-induced perturbations of dispersion-managed solitons

2007-01-11

arxiv.org/abs/nlin/0701021v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 6 figures

Scientific paper

10.1103/PhysRevA.75.053818

We study noise-induced perturbations of dispersion-managed solitons by developing soliton perturbation theory for the dispersion-managed nonlinear Schroedinger (DMNLS) equation, which governs the long-term behavior of optical fiber transmission systems and certain kinds of femtosecond lasers. We show that the eigenmodes and generalized eigenmodes of the linearized DMNLS equation around traveling-wave solutions can be generated from the invariances of the DMNLS equations, we quantify the perturbation-induced parameter changes of the solution in terms of the eigenmodes and the adjoint eigenmodes, and we obtain evolution equations for the solution parameters. We then apply these results to guide importance-sampled Monte-Carlo simulations and reconstruct the probability density functions of the solution parameters under the effect of noise.

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