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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 2, Pages 222–236
DOI: https://doi.org/10.4213/tmf771
(Mi tmf771)
 

This article is cited in 10 scientific papers (total in 10 papers)

Modulation instability of soliton trains in fiber communication systems

E. A. Kuznetsova, M. D. Spectorb

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b National Center of Atmospheric Research
References:
Abstract: The linear stability problem for a soliton train described by the nonlinear Schrödinger equation is exactly solved using a linearization of the Zakharov–Shabat dressing procedure. This problem is reduced to finding a compatible solution of two linear equations. This approach allows the growth rate of the soliton lattice instability and the corresponding eigenfunctions to be found explicitly in a purely algebraic way. The growth rate can be expressed in terms of elliptic functions. Analysis of the dispersion relations and eigenfunctions shows that the solution, which has the form of a soliton train, is stable for defocusing media and unstable for focusing media with arbitrary parameters. Possible applications of the stability results to fiber communication systems are discussed.
Received: 29.10.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 2, Pages 997–1008
DOI: https://doi.org/10.1007/BF02557407
Bibliographic databases:
Language: Russian
Citation: E. A. Kuznetsov, M. D. Spector, “Modulation instability of soliton trains in fiber communication systems”, TMF, 120:2 (1999), 222–236; Theoret. and Math. Phys., 120:2 (1999), 997–1008
Citation in format AMSBIB
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\paper Modulation instability of soliton trains in fiber communication systems
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\pages 222--236
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 2
\pages 997--1008
\crossref{https://doi.org/10.1007/BF02557407}
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  • https://www.mathnet.ru/eng/tmf771
  • https://doi.org/10.4213/tmf771
  • https://www.mathnet.ru/eng/tmf/v120/i2/p222
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :230
    References:71
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