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Nonlinearity and Disorder : Theory and Applications - F. Abdullaev

Nonlinearity and Disorder

Theory and Applications

By: F. Abdullaev (Editor), Ole Bang (Editor), M.P. Sorensen (Editor)


Published: 31st January 2002
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An exposition of nonlinear phenomena in random and inhomogeneous media which provides results on the combined effects of nonlinearity and inhomogeneity, including random inhomogeneity. Topics covered include recent developments within such popular areas as nonlinear photonic crystals, inhomogeneous optical fibres (dispersion management), discrete nonlinear lattices, discrete breathers, Bose-Einstein condensates, ultra-short optical pulse, Josephson lattices, various types of inhomogeneous waveguides and nonlinear quantization.

Contributing Authors
Nonlinear Waves in Random Media
Exponential Localization Versus Soliton Propagationp. 3
Pulse Confinement in Optical Fibers with Random Dispersionp. 19
Propagation of an Optical Pulse in a Fiber with Random Dispersion - managementp. 29
Spatial Solitons in Random Quadratic Mediap. 37
Correlation of the Amplitude and Phase Random Modulations in Nonlinear Mediump. 55
Spatio-temporal Chaos in Time Evolution of BEC with Attractive Two-body Interactionsp. 61
Dynamics of a Bose-Einstein Condensate in Optical Trapp. 69
Nonlinear Waves in Discrete, Including Disordered, Systems
Aspects of Discrete Breathers and New Directionsp. 81
Complexity at Mesoscalep. 99
Resonant Mode Interactions in Nonlinear Latticesp. 115
Discrete Solitons in Nonlinear Waveguide Arraysp. 131
Quantization of Intrinsic Nonlinear Localized Modes in Solidsp. 159
Experiments with Discrete Breathers in Josephson Arraysp. 173
Breather Compactification in Nonlinear Anharmonic Lattices with Nonlocal Dispersive Interactionsp. 189
Growth and Decay of Weakly Perturbed Discrete Breathersp. 197
Standing Waves in 1D Nonlinear Latticesp. 205
Wannier-Stark Solitons in Waveguide Arrays with Linear Potentialp. 213
Optical Solitons in Inhomogeneous Media
The Stimulated Raman Scattering System: a Numerical Studyp. 223
Chaotic Dynamics of Topological Defects in Parametrically Excited Wavesp. 239
Wavebreaking in Hydrodynamics of the Defocusing NLS Equationp. 255
Propagation and Interaction of Extremely Short Electromagnetic Pulses in Non-Linear Mediap. 263
Nonlinear Impurity Modes in Homogeneous and Periodic Mediap. 279
Effects of Linear and Nonlinear Photo-elasticity in Super-lattices Near Interband Resonancesp. 291
Resonant Optics of Impurities in Photonic Crystalsp. 297
Bragg-grating Solitons in Dual-core Semi-linear Systemsp. 307
Transverse Patterns in Type-II Optical Parametric Oscillatorsp. 315
Self-trapping and Localized Modes in 2-D Photonic Crystalsp. 323
Soliton Self-shaping Through Transverse Electrostrictive Modulation in a Brillouin Fiber Ring Laserp. 331
Quantum Dynamics in Kerr Nonlinear Coupler via Phase-space Representationp. 341
Exact Cluster Expansions for a One-dimensional [sigma]-function Bose Gasp. 351
Nonlinear Optical Waves and Nonlinear Waves in General
Nonlinear Optical Shocks and Missiles. Theory, Applications and Numerical Methodsp. 365
Nonlinear Analysis of Heart Rate Variabilityp. 387
Phenomenon of "Quantized" Oscillation Excitationp. 397
The Doppler Effect and Form of the Profile of Radiation Spectral Linesp. 411
Dissipative soliton dynamics in strongly driven ferromagnetsp. 415
Nonlinear Eigenmodes in Quadratic Film Waveguidesp. 423
Accelerating Solitons and Photorefractivityp. 435
Indexp. 443
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402001918
ISBN-10: 1402001916
Series: NATO Science Series II
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 445
Published: 31st January 2002
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.4 x 17.0  x 3.18
Weight (kg): 0.96