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Nonlinearity with Disorder

Proceedings of the Tashkent Conference, Tashkent, Uzbekistan, October 1–7, 1990

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. Fatkulla Abdullaev

    1. Thermal Physics Department, Uzbek Academy of Sciences, Tashkent-135, Chilanzar, Uzbekistan

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  2. Alan R. Bishop

    1. Los Alamos National Laboratories, Los Alamos, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Stephanos Pnevmatikos
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Part of the book series: Springer Proceedings in Physics (SPPHY, volume 67)

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Table of contents (29 papers)

  1. Front Matter

    Pages I-XI
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  2. Mathematical and Statistical Aspects

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Linear Chaos

      • B. V. Chirikov
      Pages 3-13

    3. Second-Order Perturbations for Solitons

      • D. J. Kaup
      Pages 14-22

    4. Deformation of Solitons in Random Media

      • M. Wadati
      Pages 23-29

    5. Nonlinear Wave Propagation Through Disordered Media

      • Y. S. Kivshar
      Pages 30-44

    6. Nonlinearity and Disorder in the Statistical Mechanics of Integrable Systems

      • R. K. Bullough, J. Timonen, Yu-zhong Chen
      Pages 45-57

    7. Classical and Quantum Mechanical Analysis of Order and Chaos in the Discrete Self-Trapping Equation

      • P. L. Christiansen, L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, M. Salerno, A. C. Scott
      Pages 58-66

    8. The Nonlinear Schrödinger Equation on a Disordered Chain

      • R. Scharf, A. R. Bishop
      Pages 67-84

    9. Dynamics of Sine-Gordon Soliton Interactions with Impurities

      • W. C. Kerr, A. R. Bishop, S. N. Kerr
      Pages 85-93

    10. Chaotic Dynamics of Nonlinear Schrödinger Soliton Interaction with an Oscillating Impurity

      • F. Kh. Abdullaev, A. A. Abdumalikov
      Pages 94-100

    11. Modulated Dark Soliton: Features of Creation and Propagation

      • V. V. Konotop, V. E. Vekslerchik
      Pages 101-114

    12. Dynamics of a Stochastically Perturbed φ 4 Model

      • A. Sánchez, L. Vázquez
      Pages 115-122

    13. On the Threshold of KdV Soliton Production

      • Kh. T. Kholmurodov
      Pages 123-125

    14. One-Dimensional Localization and Wave Propagation in Linear and Nonlinear Media

      • S. A. Gredeskul, L. A. Pastur
      Pages 126-133

    15. Annihilation of Topological Chiral Solitons

      • M. M. Musakhanov, I. V. Musatov
      Pages 134-142

    16. On Some Probabilistic Problems in the Theory of Quadratic Operators

      • T. A. Sarymsakov, N. N. Ganikhodzhaev
      Pages 143-149

    17. Superexponential Damping of Mean Field Propagating in Randomly Inhomogeneous Medium with Anomalously Large-Scale Nonuniformities

      • A. Yu. Val’kov, V. P. Romanov, T. I. Tipyasova
      Pages 150-158
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Keywords

About this book

In the past three decades there has been enormous progress in identifying the essential role that nonlinearity plays in physical systems, including supporting soliton-like solutions and self-trapped sxcitations such as polarons. during the same period, similarly impressive progress has occurred in understanding the effects of disorder in linear quantum problems, especially regarding Anderson localization arising from impurities, random spatial structures, stochastic applied fields, and so forth. These striking consequences of disorder, noise and nonlinearity frequently occur together in physical systems. Yet there have been only limited attempts to develop systematic techniques which can include all of these ingredients, which may reinforce, complement or frustrate each other. This book contains a range of articles which provide important steps toward the goal of systematic understanding and classification of phenomenology. Experts from Australia, Europe, Japan, USA, and the USSR describe both mathematical and numerical techniques - especially from soliton and statistical physics disciplines - and applicaations to a number of important physical systems and devices, including optical and electronic transmission lines, liquid crystals, biophysics and magnetism.

Editors and Affiliations

  • Thermal Physics Department, Uzbek Academy of Sciences, Tashkent-135, Chilanzar, Uzbekistan

    Fatkulla Abdullaev

  • Los Alamos National Laboratories, Los Alamos, USA

    Alan R. Bishop

Bibliographic Information

  • Book Title: Nonlinearity with Disorder

  • Book Subtitle: Proceedings of the Tashkent Conference, Tashkent, Uzbekistan, October 1–7, 1990

  • Editors: Fatkulla Abdullaev, Alan R. Bishop, Stephanos Pnevmatikos

  • Series Title: Springer Proceedings in Physics

  • DOI: https://doi.org/10.1007/978-3-642-84774-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-642-84776-9Published: 21 December 2011

  • eBook ISBN: 978-3-642-84774-5Published: 06 December 2012

  • Series ISSN: 0930-8989

  • Series E-ISSN: 1867-4941

  • Edition Number: 1

  • Number of Pages: XI, 311

  • Topics: Complex Systems, Physical Chemistry, Biochemistry, general, Statistical Physics and Dynamical Systems

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