Non-Gaussian error probability in optical soliton transmission

G. Falkovich, I. Kolokolov, V. Lebedev, V. Mezentsev*, S. Turitsyn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We find the probability distribution of the fluctuating parameters of a soliton propagating through a medium with additive noise. Our method is a modification of the instanton formalism (method of optimal fluctuation) based on a saddle-point approximation in the path integral. We first solve consistently a fundamental problem of soliton propagation within the framework of noisy nonlinear Schrödinger equation. We then consider model modifications due to in-line (filtering, amplitude and phase modulation) control. It is examined how control elements change the error probability in optical soliton transmission. Even though a weak noise is considered, we are interested here in probabilities of error-causing large fluctuations which are beyond perturbation theory. We describe in detail a new phenomenon of soliton collapse that occurs under the combined action of noise, filtering and amplitude modulation. © 2004 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)1-28
Number of pages28
JournalPhysica D
Issue number1-2
Early online date2 Jul 2004
Publication statusPublished - 1 Aug 2004


  • error probability
  • non-Gaussian statistics
  • optical communication
  • soliton


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