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

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Exponential Localization Versus Soliton Propagations in their shape or velocity. Solitons are therefore candidates to test the robustness of the exponential localization in random nonlinear media. Using the inverse scattering transform for the nonlinear Schrödinger equation different typical behaviors can be exhibited depending on the amplitude of the incoming soliton.
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Correlation of the Amplitude and Phase Random Modulations in Nonlinear Mediumeed the characteristic soliton distance restricted by first order of the spectral data variations. Consequently the possibility arises to manage the distribution function asymmetry coefficient by means of variation of the phase-amplitude fluctuations intensities.
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Spatio-Temporal Chaos in Time Evolution of BEC with Attractive Two-Body Interactionsear feeding parameters. We verified that, for a certain range of the space of parameters, the equation presents unstable solutions that can lead to a chaotic behavior, since the equation presents an exponential increase of the trajectory separation, in similar way found earlier for the complex Landau-Ginzburg equation.
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Quantization of Intrinsic Nonlinear Localized Modes in Solidse corresponding linear lattice which is characterized by their mean-square displacements (MSD). A nonlinear eigenvalue problem for the ILM is thereby reduced to the linear one in which the MSD of the defect is determined in a self-consistent manner.
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Propagation of an Optical Pulse in a Fiber with Random Dispersion-Managementtical communication lines include fibers with very different lengths. The objective of this work is to develop both semi- analytical variational and fully numerical approaches to the description of pulses’ dynamics in a random-DM system.
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