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Stability of pulses on optical fibers with phase-sensitive amplifiers (1997)

Alexander, J. C. ; Grillakis, M. G. ; Jones, C. K. R. T. ; [et al.]

Springer

Zeitschrift für angewandte Mathematik und Physik 48 (1997), S. 175-192

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ISSN: 0044-2275

Keywords: Key words. Solitons, nonlinear optical pulse propagation, optical fibers, stability.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract. Pulse stability is crucial to the effective propagation of information in a soliton-based optical communication system. It is shown in this paper that pulses in optical fibers, for which attenuation is compensated by phase-sensitive amplifiers, are stable over a large range of parameter values. A fourth-order nonlinear diffusion model due to Kutz and co-workers is used. The stability proof invokes a number of mathematical techniques, including the Evans function and Grillakis' functional analytic approach.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00001473

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