Self-Equalization of Energies of Solitons in Transmission Systems by Guiding Filters

Details Self-Equalization of Energies of Solitons in Transmission Systems by Guiding Filters Self-Equalization of Energies of Solitons in Transmission Systems by Guiding Filters

2007-09-27

arxiv.org/abs/0709.4459v2

Nonlinear Sciences

Pattern Formation and Solitons

20 pages

Scientific paper

10.1016/j.physd.2008.04.014

In this paper, the regulating effect of guiding filters on the energies of solitons in wave-length division multiplexing (WDM) transmission systems is rigorously studied. More precisely, it is shown that guiding filters prevent the energies of solitons from decaying to zero in long distances. This goal is achieved by studying a mathematical model of the evolution of energies of solitons in transmission systems. The approach is mathematical and does not use numerical or experimental results available in the literature; nevertheless, it reaffirms such results.

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