Titlebook: Nonlinearity and Disorder: Theory and Applications; Fatkhulla Abdullaev,Ole Bang,Mads Peter Sørensen Book 2001 Springer Science+Business M

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Discrete Solitons in Nonlinear Waveguide Arraysonlinearity may lead to the formation of discrete solitons. Beyond the canonical types of solitons there are novel solutions, peculiar for discrete systems, as twisted and flat-top bright solitons as well as asymmetric dark solitons. Stability issues are discussed in detail.

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Quantization of Intrinsic Nonlinear Localized Modes in Solidsn for the case of strong localization. An atom associated with the central position of the ILM and its nearest neighbors are treated as a defect in the corresponding linear lattice which is characterized by their mean-square displacements (MSD). A nonlinear eigenvalue problem for the ILM is thereby

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Growth and Decay of Weakly Perturbed Discrete BreathersA multi-scale perturbation expansion is used to obtain the slow adiabatic time evolution of the breather frequency, where also the DNLS conservation laws can be used. Exciting a single localized breather internal mode is found to always lead to asymptotic breather growth, while interaction between t

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Standing Waves in 1D Nonlinear Lattices. If the spatial periodicity of the wave is incommensurate with the lattice period we observe a transition by breaking of analyticity for increasing wave amplitude. As a consequence of discreteness, standing waves in an infinite lattice are unstable through an oscillatory instability for all wave ve

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M. Chertkov,I. Gabitov,J. Moeserguide for amateurs since Burnham’s Celestial Handbook. With finder charts of large-scale and unprecedented detail, in both normal and mirror-image views (for users of the ubiquitous Meade and Celestron Schmidt-Cassegrain telescope ranges), and an extensive list of 14,000 objects, it will provide a d