Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2010-09-14
AIP-Advances 1 (2011) 022137
Nonlinear Sciences
Exactly Solvable and Integrable Systems
10 pages, 3 figures, latex
Scientific paper
Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the opant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting the limitation of a well known result.
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