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Nonlinear Wave Propagation Through Disordered Media

  • Y. S. Kivshar
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 67)

Abstract

We briefly review recent numerical and analytical results related to the study of the coexistence of nonlinear dynamics and effects of disorder, mostly for soliton bearing systems. In particular, we point out that disorder may give rise to a more intensive development of nonlinear properties via modulational instability, and that localization effects stipulated by disorder in linear systems may vanish in the presence of strong nonlinearity. The examples that we present demonstrate that nonlinearity leads to an actual improvement of the transmission only when it contributes to create soliton pulses.

Keywords

Transmission Coefficient Modulational Instability Linear Wave Localization Length Anderson Localization 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Y. S. Kivshar
    • 1
    • 2
  1. 1.Institute for Low Temperature Physics and EngineeringAcademy of SciencesKharkovUkraine
  2. 2.Departamento de Física Teórica I, Facultad de Ciencias FísicasUniversidad ComplutenseMadridSpain

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