Nonlinear Waves: Classical and Quantum Aspects

1. Front Matter

   Pages i-xxviii

   PDF

2. Nonlinear Systems. General Topics

   1. Front Matter

      Pages 1-1

      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

      PDF

   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

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.

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

• 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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