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Nonlinear Waves: Classical and Quantum Aspects

  • Fatkhulla Kh. Abdullaev
  • Vladimir V. Konotop

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

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Nonlinear Systems. General Topics

    1. Front Matter
      Pages 1-1
    2. Fatkhulla Abdullaev
      Pages 29-44
    3. Nail Akhmediev, J. M. Soto-Crespo, A. Ankiewicz
      Pages 45-60
    4. B. B. Baizakov, M. Salerno, B. A. Malomed
      Pages 61-80
    5. Lucian-Cornel Crasovan, Vadym Vekslerchik, Dumitru Mihalache, Juan P. Torres, Víctor M. Pérez-García, Lluis Torner
      Pages 81-98
    6. Iwo Bialynicki-Birula, Tomasz Sowiński
      Pages 99-106
    7. Yu.B. Gaididei, P.L. Christiansen, P.G. Kevrekidis, H. Büttner, A.R. Bishop
      Pages 107-120
    8. G. Alfimov, T. Pierantozzi, L. Vázquez
      Pages 121-128
    9. T. Christodoulakis, C. Helias, P.G. Kevrekidis, I.G. Kevrekidis, G. Papadopoulos
      Pages 135-143
    10. Silvana De Lillo, Giampaolo Sanchini
      Pages 145-150
    11. Vladimir Damgov, Plamen Trenchev
      Pages 163-171
  3. Bose-Einstein Condensates and Matter Waves

    1. Front Matter
      Pages 173-173
    2. Miki Wadati, Go Kato, Toshiaki Iida
      Pages 193-207
    3. C. Fort, L. Fallani
      Pages 209-222
    4. Oliver Morsch, Ennio Arimondo
      Pages 223-236
    5. V.A. Brazhnyi, V.V. Konotop
      Pages 251-267
    6. N.A. Kostov, V. S. Gerdjikov, V.Z. Enoľskii, M. Salerno, V.V. Konotop
      Pages 269-283
    7. A.M. Kamchatnov, A. Gammal, R.A. Kraenkel
      Pages 285-290
  4. Nonlinear Optics and Photonics

    1. Front Matter
      Pages 291-291
    2. Alejandro B. Aceves, Tomáš Dohnal
      Pages 293-302
    3. Sergey A. Darmanyan, Michel Nevière, Anatoly V. Zayats
      Pages 313-326
    4. Humberto Michinel, Maria J. Paz-Alonso, Jose R. Salgueiro
      Pages 327-351
    5. Vladimir Skarka, Najdan B. Aleksic, Vazha I. Berezhiani
      Pages 353-359
    6. Sonia Boscolo, Stanislav A. Derevyanko, Sergei K. Turitsyn
      Pages 373-379
  5. Nonlinear Waves in Discrete Systems

    1. Front Matter
      Pages 397-397
    2. J.C. Eilbeck, F. Palmero
      Pages 399-412
    3. E.V. Doktorov, N.P. Matsuka, V.M. Rothos
      Pages 489-495
    4. Vassilis M Rothos, Michal Feckan
      Pages 497-501
    5. V.E. Vekslerchik
      Pages 511-520
    6. F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed, R. A. Kraenkel
      Pages 529-534
    7. N. S. Serikbaev, Kur. Myrzakul, F. K. Rahimov, R. Myrzakulov
      Pages 535-542

About these proceedings

Introduction

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.

Keywords

Potential Transmission cluster mechanics molecule optics quantum dot quantum mechanics scattering spectroscopy

Editors and affiliations

  • Fatkhulla Kh. Abdullaev
    • 1
  • Vladimir V. Konotop
    • 2
    • 3
  1. 1.Physical-Technical InstituteUzbek Academy of SciencesTashkentUzbekistan
  2. 2.Centro de Fisica Teórica e ComputacionalUniversidade de LisboaPortugal
  3. 3.Departamento de Física, Faculdade de CiênciasUniversidade de LisboaPortugal

Bibliographic information