Nonlinearity with Disorder

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

  • Fatkulla Abdullaev
  • Alan R. Bishop
  • Stephanos Pnevmatikos
Conference proceedings

Part of the Springer Proceedings in Physics book series (SPPHY, volume 67)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Mathematical and Statistical Aspects

    1. Front Matter
      Pages 1-1
    2. B. V. Chirikov
      Pages 3-13
    3. R. K. Bullough, J. Timonen, Yu-zhong Chen
      Pages 45-57
    4. P. L. Christiansen, L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, M. Salerno, A. C. Scott
      Pages 58-66
    5. R. Scharf, A. R. Bishop
      Pages 67-84
    6. W. C. Kerr, A. R. Bishop, S. N. Kerr
      Pages 85-93
    7. V. V. Konotop, V. E. Vekslerchik
      Pages 101-114
    8. A. Sánchez, L. Vázquez
      Pages 115-122
    9. Kh. T. Kholmurodov
      Pages 123-125
    10. M. M. Musakhanov, I. V. Musatov
      Pages 134-142
    11. T. A. Sarymsakov, N. N. Ganikhodzhaev
      Pages 143-149
  3. Physical Applications

    1. Front Matter
      Pages 159-159
    2. K. Forinash, A. R. Bishop, P. Lomdahl
      Pages 190-202
    3. M. A. Collins, D. L. Clarke
      Pages 203-214
    4. F. Kh. Abdullaev, B. A. Umarov
      Pages 215-218
    5. A. A. Abdumalikov, E. N. Tsoi
      Pages 225-229
    6. M. I. Molina, D. C. Mattis
      Pages 230-237
    7. E. A. Vinogradov, V. N. Denisov, A. V. Zayats, B. N. Mavrin, D. N. Nikogosyan, Yu. A. Repeyev et al.
      Pages 259-268
    8. F.-J. Niedernostheide, R. Dohmen, H. Willebrand, H.-J. Schulze, H.-G. Purwins
      Pages 282-309
  4. Back Matter
    Pages 311-313

About these proceedings


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.


DNA Disorder Noise Nonlinearity Solitons biophysics liquid crystal nonlinear dynamics protein statistical physics structure

Editors and affiliations

  • Fatkulla Abdullaev
    • 1
  • Alan R. Bishop
    • 2
  • Stephanos Pnevmatikos
  1. 1.Thermal Physics DepartmentUzbek Academy of Sciences, Tashkent-135ChilanzarUzbekistan
  2. 2.Los Alamos National LaboratoriesLos AlamosUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-84776-9
  • Online ISBN 978-3-642-84774-5
  • Series Print ISSN 0930-8989
  • Series Online ISSN 1867-4941
  • Buy this book on publisher's site