Proceedings of the NATO Advanced Research Workshop, Tashkent, Uzbekistan, 2-6 October 2001Preface. 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. Nonlinearl#+