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Kvantovaya Elektronika, 2001, Volume 31, Number 11, Pages 1016–1022 (Mi qe2094)  

This article is cited in 5 scientific papers (total in 5 papers)

Solitons

Optimal control of optical soliton parameters: Part 2. Concept of nonlinear Bloch waves in the problem of soliton management

V. N. Serkinab, T. L. Belyaevabc

a Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow
b Benemerita Universidad Autonoma de Puebla, Instituto de Ciencias, Mexico
c Lomonosov Moscow State University
Full-text PDF (316 kB) Citations (5)
Abstract: It is shown that optical solitons in nonlinear fibre-optic communication systems and soliton lasers can be represented as nonlinear Bloch waves in periodic structures. The Bloch theorem is proved for solitons of the nonlinear Schrodinger equation in systems with the dispersion, the nonlinearity, and the gain (absorption coefficient) periodically changing over the length. The dynamics of formation and interaction, as well as stability of the coupled states of nonlinear Bloch waves are investigated. It is shown that soliton Bloch waves exist only under certain self-matching conditions for the basic parameters of the system and reveal a structural instability with respect to the mismatch between the periods of spatial modulation of the dispersion, nonlinearity or gain.
Received: 18.05.2001
English version:
Quantum Electronics, 2001, Volume 31, Issue 11, Pages 1016–1022
DOI: https://doi.org/10.1070/QE2001v031n11ABEH002094
Bibliographic databases:
Document Type: Article
PACS: 42.65.Tg, 42.81.Dp
Language: Russian


Citation: V. N. Serkin, T. L. Belyaeva, “Optimal control of optical soliton parameters: Part 2. Concept of nonlinear Bloch waves in the problem of soliton management”, Kvantovaya Elektronika, 31:11 (2001), 1016–1022 [Quantum Electron., 31:11 (2001), 1016–1022]
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  • https://www.mathnet.ru/eng/qe/v31/i11/p1016
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    Citing articles in Google Scholar: Russian citations, English citations
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    Квантовая электроника Quantum Electronics
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