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Nonlinearity and Disorder: Theory and Applications

  • Book
  • © 2001

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Editors:
  1. Fatkhulla Abdullaev

    1. Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan

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  2. Ole Bang

    1. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark

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    You can also search for this editor in PubMed   Google Scholar

  3. Mads Peter Sørensen

    1. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 45)

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Table of contents (37 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Nonlinear Waves in Random Media

    1. Front Matter

      Pages 1-1
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    2. Exponential Localization Versus Soliton Propagation

      • J. Garnier
      Pages 3-17

    3. Pulse Confinement in Optical Fibers with Random Dispersion

      • M. Chertkov, I. Gabitov, J. Moeser
      Pages 19-28

    4. Propagation of an Optical Pulse in a Fiber with Random Dispersion-Management

      • B. A. Malomed, A. Berntson
      Pages 29-36

    5. Spatial Solitons in Random Quadratic Media

      • A. Kobyakov, F. Kh. Abdullaev, S. A. Darmanyan, E. Schmidt, F. Lederer
      Pages 37-53

    6. Correlation of the Amplitude and Phase Random Modulations in Nonlinear Medium

      • M. R. Djumaev, N. K. Nosirova, A. A. Abdumalikov
      Pages 55-60

    7. Spatio-Temporal Chaos in Time Evolution of BEC with Attractive Two-Body Interactions

      • A. Gammal, V. S. Filho, L. Tomio, T. Frederico
      Pages 61-67

    8. Dynamics of a Bose-Einstein Condensate in Optical Trap

      • F. Kh. Abdullaev, B. B. Baizakov, V. V. Konotop
      Pages 69-78

  3. Nonlinear Waves in Discrete, Including Disordered, Systems

    1. Front Matter

      Pages 79-79
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    2. Aspects of Discrete Breathers and New Directions

      • S. Aubry, G. Kopidakis
      Pages 81-98

    3. Complexity at Mesoscale

      • A. R. Bishop, K. Ø. Rasmussen, J. Röder, T. Lookman, A. Saxena, A. Vanossi et al.
      Pages 99-113

    4. Resonant Mode Interactions in Nonlinear Lattices

      • V. V. Konotop
      Pages 115-130

    5. Discrete Solitons in Nonlinear Waveguide Arrays

      • F. Lederer, S. Darmanyan, A. Kobyakov
      Pages 131-157

    6. Quantization of Intrinsic Nonlinear Localized Modes in Solids

      • S. Takeno, V. V. Konotop
      Pages 159-171

    7. Experiments with Discrete Breathers in Josephson Arrays

      • A. V. Ustinov
      Pages 173-187

    8. Breather Compactification in Nonlinear Anharmonic Lattices with Nonlocal Dispersive Interactions

      • B. Dey, M. Eleftheriou, G. P. Tsironis
      Pages 189-195

    9. Growth and Decay of Weakly Perturbed Discrete Breathers

      • M. Johansson
      Pages 197-203

    10. Standing Waves in 1D Nonlinear Lattices

      • A. M. Morgante, M. Johansson, G. Kopidakis, S. Aubry
      Pages 205-211

    11. Wannier-Stark Solitons in Waveguide Arrays with Linear Potential

      • T. Pertsch, A. Bräuer, U. Peschel, F. Lederer
      Pages 213-220
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Keywords

Editors and Affiliations

  • Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan

    Fatkhulla Abdullaev

  • Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark

    Ole Bang, Mads Peter Sørensen

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