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Title: The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface

The dynamics of waves in weakly nonlinear dispersive media can be described by the nonlinear Schrödinger equation (NLSE). An important feature of the equation is that it can be derived in a number of different physical contexts; therefore, analogies between different fields, such as for example fiber optics, water waves, plasma waves and Bose–Einstein condensates, can be established. Here, we investigate the similarities between wave propagation in optical Kerr media and water waves. In particular, we discuss the modulation instability (MI) in both media. In analogy to the water wave problem, we derive for Kerr-media the Benjamin–Feir index, i.e. a nondimensional parameter related to the probability of formation of rogue waves in incoherent wave trains.
Authors:
 [1] ; ; ;  [2] ;  [3] ;  [4] ;  [5] ;  [1]
  1. Centre for Ocean Engineering Science and Technology, Swinburne University of Technology, Hawthorn, Victoria 3122 (Australia)
  2. Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 6303 CNRS, Université de Bourgogne, 21078 Dijon (France)
  3. Dipartimento di Fisica, Università degli Studi di Torino, Torino 10125 (Italy)
  4. (Italy)
  5. Institut FEMTO-ST, UMR 6174 CNRS- Université de Franche-Comté, 25030 Besançon (France)
Publication Date:
OSTI Identifier:
22451242
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 361; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; ELECTROMAGNETIC RADIATION; FIBER OPTICS; NONLINEAR PROBLEMS; OPTICAL FIBERS; PLASMA WAVES; SCHROEDINGER EQUATION; WATER WAVES; WAVE PROPAGATION