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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf771https://doi.org/10.4213/tmf771 https://www.mathnet.ru/eng/tmf/v120/i2/p222
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Abstract page: | 582 | Full-text PDF : | 230 | References: | 71 | First page: | 1 |
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