Nonlinear Waves: Classical and Quantum Aspects (eBook)

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 Schrödinger 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 equation; G. Alfimov, et al. From nonlocality to fractional calculus; L. Vázquez. On 3+1 dimensional Friedman-Robertson-Walker universes with matter; T. Christodoulakis, et al. Stochastic effects on the Eckhaus equation; S. De Lillo, G. Sanchini. Modulational instability of some nonlinear nuclear continuum and discrete models; D. Grecu, A. Visinescu. Scattering of NLS solitons with bound quantum states; A. Ludu. 'Oscillator-Wave' model: Multiple attractors and strong stability; V. Damgov, P. Trenchev. II: Bose-Einstein Condensates and Matter Waves. Bose-Einstein condensation: the odd nonlinear quantum mechanics; L.P. Pitaevskii. Statistical mechanics of quantum integrable systems; M. Wadati, et al. Bose-Einstein condensates in an optical lattice; C. Fort, L. Fallani. Bose-Einstein condensates in optical lattices in the nonlinear regime; O. Morsch, E. Arimondo. Quantum bound states and matter waves delocalizations; M. Salerno. Control of matter waves in optical lattices by Feshbachresonance; V.A. Brazhnyi, V.V. Konotop. Two-component Bose-Einstein condensates in optical lattices; N.A. Kostov, et al. Shock waves in Bose-Einstein condensates; A.M. Kamchatnov, et al. III: Nonlinear Optics and Photonics. Stopping and bending light in 2D photonic structures; A.B. Aceves, T. Dohnal. Model of the two level quantum dots ensemble interacting with ultra-short pulse of coherent radiation; A.I. Maimistov. Enhanced optical transmission via tunnel coupling in surface polaritronic crystals; S.A. Darmanyan, et al. Liquid light in cubic-quintic nonlinear optical materials; H. Michinel, et al. Optical pulse evolution toward light bullet and vortex solution; V. Skarka, et al. The description of extremely short pulses in non-resonant media in frame of Maxwell-Duffing-type models; E.V. Kazantseva. Statistics of three interacting optical solitons; S. Boscolo, et al. Statistical study of Raman scattering in optical fibers affected by random conditions; J. Villarroel. Electromagnetics of unharmonic waves - exactly solvable model; A. Shvartsburg. IV: Nonlinear Waves in Discrete Systems. Quantum breathers in an attractive fermionic Hubbard model; J.C. Eilbeck, F. Palermo. Energy localization and first order phase transition in solids and molecules; S. Takeno, T. Suzuki. Soliton dynamics in randomly perturbed discrete lattices; J. Garnier. Ultrafast electron transfer: The standard theory revisited; S. Aubry. Nonlinear spectroscopy study of vibrational self-trapping in hydrogen bonded crystals; J. Edler, P. Hamm. Quantum anharmonic phonons in the Fermi-Pasta-Ulam chain; J. Szeftel. Dynamics of the perturbed Ablowitz-Ladik soliton beyond the adiabatic approximation; E.V. Doktorov, et al. Travelling waves in