PMID: 11909283Mar 23, 2002Paper

Multichannel pulse dynamics in a stabilized Ginzburg-Landau system

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H E NistazakisK Hizanidis

Abstract

We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between them, where each CGL equation is stabilized by linearly coupling it to an additional linear dissipative equation. In the context of nonlinear fiber optics, the model describes transmission and collisions of pulses at different wavelengths in a dual-core fiber, in which the active core is furnished with bandwidth-limited gain, while the other, passive (lossy) one is necessary for stabilization of the solitary pulses. Complete and incomplete collisions of pulses in two channels in the cases of anomalous and normal dispersion in the active core are analyzed by means of perturbation theory and direct numerical simulations. It is demonstrated that the model may readily support fully stable pulses whose collisions are quasielastic, provided that the group-velocity difference between the two channels exceeds a critical value. In the case of quasielastic collisions, the temporal shift of pulses, predicted by the analytical approach, is in semiquantitative agreement with direct numerical results in the case of anomalous dispersion (in the opposite case, the per...Continue Reading

References

May 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B A Malomed, H G Winful
Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J Atai, B A Malomed

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Citations

Jan 20, 2018·Physical Review. E·Tanvir Ahmed, Javid Atai
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergey V SuchkovYuri S Kivshar

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