Nonlinear Waves: Classical and Quantum Aspects

Editors:

ISBN: 978-1-4020-2188-6 (Print) 978-1-4020-2190-9 (Online)

Table of contents (46 chapters)

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  1. Nonlinear Systems. General Topics

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-14

      Towards Algebro-Geometric Integration of the Gross-Pitaevskii Equation

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      Book Chapter

      Pages 15-28

      On Modeling Adiabatic N-Soliton Interactions

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      Book Chapter

      Pages 29-44

      Dynamical Stabilization of nonlinear Waves

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      Book Chapter

      Pages 45-60

      Solitons as Strange Attractors

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      Book Chapter

      Pages 61-80

      Multidimensional Solitons and Vortices in Periodic Potentials

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      Book Chapter

      Pages 81-98

      Globally-Linked Vortex Clusters

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      Book Chapter

      Pages 99-106

      Solutions of the Logarithmic Schrödinger Equation in a Rotating Harmonic Trap

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      Book Chapter

      Pages 107-120

      Linear and Nonlinear Bound States in Curved Waveguides

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      Book Chapter

      Pages 121-128

      Numerical Study of a Nonlocal Sine-Gordon Equation

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      Book Chapter

      Pages 129-133

      A Fruitful Interplay: From Nonlocality to Fractional Calculus

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      Book Chapter

      Pages 135-143

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

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      Book Chapter

      Pages 145-150

      Stochastic Effects on the Eckhaus Equation

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      Book Chapter

      Pages 151-156

      Modulational Instability of Some Nonlinear Continuum and Discrete Models

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      Book Chapter

      Pages 157-162

      Scattering of NLS Solitons with Bound Quantum States

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      Book Chapter

      Pages 163-171

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

  2. Bose-Einstein Condensates and Matter Waves

    1. Front Matter

      Pages 173-173

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      Book Chapter

      Pages 175-192

      Bose-Einstein Condensation: The Odd Nonlinear Quantum Mechanics

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      Book Chapter

      Pages 193-207

      Statistical Mechanics of Quantum Integrable Systems

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      Book Chapter

      Pages 209-222

      Bose-Einstein Condensates in an Optical Lattice

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      Book Chapter

      Pages 223-236

      Bose-Einstein Condensates in Optical Lattices in the Nonlinear Regime

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      Book Chapter

      Pages 237-250

      Quantum Bound States and Matter Waves Delocalizations

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