Nonlinear Waves Classical and Quantum Aspects [Paperback]

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.Proceedings of the NATO Advanced Research Workshop, held in Estoril, Portugal, 13-17 July 2003Leading 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.Preface. Contributing Authors. I: Nonlinear Waves. General Topics. Towards algebro-geometric integration of the Gross-Pitaevskii equation; V.Z. Enolskii. On modeling adiabatic N-soliton interactions; V.S. Gerdjikov. Dynamical stabilization of nonlinear waves; F. Abdullaev. Solitons as strange attractors; N. Akhmediev, et al. Multidimensional solitons and vortices in periodic potentials; B.B. Baizakov, et al. Globally-linked vortex clusters; L.-C. Crasovan, et al. Solutions of the logarithmic Schr?dinger equation in a rotating harmonic trap; I. Bialynicki-Birula, T. Sowinski. Linear and nonlinear bound states in curved waveguides; Yu.B. Gaididei, et al. Numerical study of a nonlocal sine-Gordon eql³“