Nonlinearity and Disorder: Theory and Applications

Preface. Poem; M.R. Djumaev. Contributing Authors. Part I: Nonlinear Waves in Random Media. Exponential Localization Versus Soliton Propagation; J. Garnier. Pulse Confinement in Optical Fibers with Random Dispersion; M. Chertkov, et al. Propagation of an Optical Pulse in a Fiber with Random Dispersion-management; B.A. Malomed, A. Berntson. Spatial Solitons in Random Quadratic Media; A. Kobyakov, et al. Correlation of the Amplitude and Phase Random Modulations in Nonlinear Medium; M.R. Djumaev, et al. Spatio-temporal Chaos in Time Evolution of BEC with Attractive Two-body Interaction; A. Gammal, et al. Dynamics of a Bose-Einstein Condensate in Optical Trap; F.Kh. Abdullaev, et al. Part II: Nonlinear Waves in Discrete, Including Disordered, Systems. Aspects of Discrete Breathers and New Directions; S. Aubry, G. Kopidakis. Complexity at Mesoscale; A.R. Bishop, et al. Resonant Mode Interactions in Nonlinear Lattices; V.V. Konotop. Discrete Solitons in Nonlinear Waveguide Arrays; F. Lederer, et al. Quantization of Intrinsic Nonlinear Localized Modes in Solids; S. Takeno, V.V. Konotop. Experiments with Discrete Breathers in Josephson Arrays; A.V. Ustinov. Breather Compactification in Nonlinear Anharmonic Lattices with Nonlocal Dispersive Interactions; B. Dey, et al. Growth and Decay of Weakly Perturbed Discrete Breathers; M. Johansson. Standing Waves in 1D Nonlinear Lattices; A.M. Morgante, et al. Wannier-Stark Solitons in Waveguide Arrays with Linear Potential; T. Pertsch, et al.Part III: Optical Solitons in Inhomogeneous Media. The Stimulated Raman Scattering System: a Numerical Study; J.G. Caputo. Chaotic Dynamics of Topological Defects in Parametrically Excited Waves; A.B. Ezersky, et al. Wavebreaking in Hydrodynamics of the Defocusing NLS Equation; A.M. Kamchatnov. Propagation and Interaction of Extremely Short Electromagnetic Pulses in Non-Linear Media; A.I. Maimistov. Nonlinear Impurity Modes in Homogeneous and Periodic Media; A.A. Sukhorukov, Y.S. Kivshar. Effects of Linear and Non-linear Photo-elasticity in Super-lattices Near Interband Resonances; R.A. Ayukhanov, G.N. Shkerdin. Resonant Optics of Impurities in Photonic Crystals; A.M. Basharov. Bragg-grating Solitons in Dual-core Semi-Linear Systems; J. Atai, B.A. Malomed. Transverse Patterns in Type-II Optical Parametric Oscillators; G. Izús, et al. Self-Trapping and Localized Modes in 2-D Photonic Crystals; S.F. Mingaleev, Y.S. Kivshar. Soliton Self-shaping Through Transverse Electrostrictive Modulation in a Brillouin Fiber Ring Laser; C. Montes, et al. Dissipative Soliton Dynamics in Strongly Driven Ferromagnets; A.S. Kirakosyan. Nonlinear Eigenmodes in Quadratic Film Waveguides; M. Nevière, S.A. Darmanyan. Accelerating Solitons and Photorefractivity; D.F. Parker, et al. Index.