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Nonlinear Waves: Classical and Quantum Aspects

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Fatkhulla Kh. Abdullaev

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

  2. Vladimir V. Konotop

    1. Centro de Fisica Teórica e Computacional, Universidade de Lisboa, Portugal
      Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Portugal

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 153)

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  • 15 Citations

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About this book

Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.

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Table of contents (46 papers)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. Nonlinear Systems. General Topics

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Towards Algebro-Geometric Integration of the Gross-Pitaevskii Equation

      • V.Z. Enolskii
      Pages 3-14

    3. On Modeling Adiabatic N-Soliton Interactions

      • V.S. Gerdjikov
      Pages 15-28

    4. Dynamical Stabilization of nonlinear Waves

      • Fatkhulla Abdullaev
      Pages 29-44

    5. Solitons as Strange Attractors

      • Nail Akhmediev, J. M. Soto-Crespo, A. Ankiewicz
      Pages 45-60

    6. Multidimensional Solitons and Vortices in Periodic Potentials

      • B. B. Baizakov, M. Salerno, B. A. Malomed
      Pages 61-80

    7. Globally-Linked Vortex Clusters

      • Lucian-Cornel Crasovan, Vadym Vekslerchik, Dumitru Mihalache, Juan P. Torres, Víctor M. Pérez-García, Lluis Torner
      Pages 81-98

    8. Solutions of the Logarithmic Schrödinger Equation in a Rotating Harmonic Trap

      • Iwo Bialynicki-Birula, Tomasz Sowiński
      Pages 99-106

    9. Linear and Nonlinear Bound States in Curved Waveguides

      • Yu.B. Gaididei, P.L. Christiansen, P.G. Kevrekidis, H. Büttner, A.R. Bishop
      Pages 107-120

    10. Numerical Study of a Nonlocal Sine-Gordon Equation

      • G. Alfimov, T. Pierantozzi, L. Vázquez
      Pages 121-128

    11. A Fruitful Interplay: From Nonlocality to Fractional Calculus

      • L. Vázquez
      Pages 129-133

    12. On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter

      • T. Christodoulakis, C. Helias, P.G. Kevrekidis, I.G. Kevrekidis, G. Papadopoulos
      Pages 135-143

    13. Stochastic Effects on the Eckhaus Equation

      • Silvana De Lillo, Giampaolo Sanchini
      Pages 145-150

    14. Modulational Instability of Some Nonlinear Continuum and Discrete Models

      • D. Grecu, Anca Visinescu
      Pages 151-156

    15. Scattering of NLS Solitons with Bound Quantum States

      • Andrei Ludu
      Pages 157-162

    16. “Oscillator-Wave” Model: Multiple Attractors and Strong Stability

      • Vladimir Damgov, Plamen Trenchev
      Pages 163-171

  3. Bose-Einstein Condensates and Matter Waves

    1. Front Matter

      Pages 173-173
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    2. Bose-Einstein Condensation: The Odd Nonlinear Quantum Mechanics

      • L.P. Pitaevskii
      Pages 175-192

    3. Statistical Mechanics of Quantum Integrable Systems

      • Miki Wadati, Go Kato, Toshiaki Iida
      Pages 193-207
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Editors and Affiliations

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

    Fatkhulla Kh. Abdullaev

  • Centro de Fisica Teórica e Computacional, Universidade de Lisboa, Portugal

    Vladimir V. Konotop

  • Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Portugal

    Vladimir V. Konotop

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