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

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