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TMF, 2004 Volume 141, Number 2, Pages 178–191 (Mi tmf125)

Periodic Optical Pulses in Nonlinear Optical Fibers

V. L. Vereshchagin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: We discuss the problem of transmitting polarized pulses along optical fibers with variable dispersion. The dissipation and mean dispersion are assumed to be zero, which allows using the model of the vector nonlinear Schrödinger equation. We consider an optical fiber consisting of arms of equal length, which is assumed to be large. We propose an asymptotic recursive procedure for calculating the amplitude and the phase of an optical pulse propagating along the optical cable with variable dispersion.

Keywords: optical pulses in telecommunication, optical fibers, nonlinear Schrödinger equation, inverse scattering problem.

Received: 26.08.2003
Revised: 06.02.2004

DOI: 10.4213/tmf125


 English version:
Theoretical and Mathematical Physics, 2004, 141:2, 1482–1493

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© Steklov Math. Inst. of RAS, 2026