Nonlinear Waves

Classical and Quantum Aspects

By: Fatkhulla Abdullaev (Editor), Vladimir V. Konotop (Editor)

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Hardcover | 20 July 2004

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584 Pages

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24.13 x 21.59 x 3.18

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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 Schr¶dinger 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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Preface
Contributing Authors
Nonlinear Waves
General Topics
Towards algebro-geometric integration of the Gross-Pitaevskii equation
On modeling adiabatic N-soliton interactions
Dynamical stabilization of nonlinear waves
Solitons as strange attractors
Multidimensional solitons and vortices in periodic potentials
Globally-linked vortex clusters
Solutions of the logarithmic Schr?dinger equation in a rotating harmonic trap
Linear and nonlinear bound states in curved waveguides
Numerical study of a nonlocal sine-Gordon equation
From nonlocality to fractional calculus
On 3+1 dimensional Friedman-Robertson-Walker universes with matter
Stochastic effects on the Eckhaus equation
Modulational instability of some nonlinear nuclear continuum and discrete models
Scattering of NLS solitons with bound quantum states
"Oscillator-Wave" model: Multiple attractors and strong stability
Bose-Einstein Condensates and Matter Waves
Bose-Einstein condensation: the odd nonlinear quantum mechanics
Statistical mechanics of quantum integrable systems
Bose-Einstein condensates in an optical lattice
Bose-Einstein condensates in optical lattices in the nonlinear regime
Quantum bound states and matter waves delocalizations
Control of matter waves in optical lattices by Feshbach resonance
Two-component Bose-Einstein condensates in optical lattices
Shock waves in Bose-Einstein condensates
Nonlinear Optics and Photonics
Stopping and bending light in 2D photonic structures
Model of the two level quantum dots ensemble interacting with ultra-short pulse of coherent radiation
Enhanced optical transmission via tunnel coupling in surface polaritronic crystals
Liquid light in cubic-quintic nonlinear optical materials
Optical pulse evolution toward light bullet and vortex solution
The description of extremely short pulses in non-resonant media in frame of Maxwell-Duffing-type models
Statistics of three interacting optical solitons
Statistical study of Raman scattering in optical fibers affected by random conditions
Electromagnetics of unharmonic waves - exactly solvable model
Nonlinear Waves in Discrete Systems
Quantum breathers in an attractive fermionic Hubbard model
Energy localization and first order phase transition in solids and molecules
Soliton dynamics in randomly perturbed discrete lattices
Ultrafast electron transfer: The standard theory revisited
Nonlinear spectroscopy study of vibrational self-trapping in hydrogen bonded crystals
Quantum anharmonic phonons in the Fermi-Pasta-Ulam chain
Dynamics of the perturbed Ablowitz-Ladik soliton beyond the adiabatic approximation
Travelling waves in a perturbed discrete sine-Gordon equation
Dynamics of multicomponent solitons in perturbed ladder lattices
Miwa''s representation of the Volterra hierarchy
Moving topological solitons in the discrete Klein-Gordon equation
Dynamics of discrete solitons in media with varying nonlinearity
On continuous limits of some generalized compressible Heisenberg spin chains
On the geometry of stationary Heisenberg ferromagnets
Table of Contents provided by Publisher. All Rights Reserved.

Nonlinear Waves

Classical and Quantum Aspects

At a Glance

Hardcover

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