Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives

ISBN-13: 9783319020563 / Angielski / Twarda / 2013 / 432 str.

Panayotis Kevrekidis;Ricardo Carretero-Gonzalez;Jesus Cuevas-Maraver

Opis

The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications. This volume is a compilation of chapters representing the current state-of-the-art on the field of localized excitations and their role in the dynamics of complex physical systems.

Spis treści

Nonlinear Schrödinger Models: Continuum and Discrete Solitons and their Ghosts in PT-Symmetric Systems with Defocusing Nonlinearities.- Coding of Nonlinear States for NLS-Type Equations with Periodic Potential.- Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger dimers.- Breather Solutions of the discrete p-Schrödinger Equation.- Bose-Einstein Condensates (BECs) and Nonlinear Optics Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length.- Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover.- N-Soliton Interactions for the Manakov System: Effects of External Potentials.- Wave Modes Trapped in Rotating Nonlinear Potentials.- Light Propagation in Two-Dimensional Plasmonic Arrays.- Nonlinear Dynamical Lattices Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers.- Variational Approximation to Electron Trapping by Soliton-like Localized Excitations in One-Dimensional Anharmonic Lattices.- Stability of Mode-Locked Kinks in the AC-Driven and Damped Sine-Gordon Lattice.- Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles.- Quodons and Muscovite Mica Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids under Irradiation.- Energy Gain by Discrete Particle Nonlinear Lattice Excitations.- Supersonic Kinks in Coulomb Lattices.- Magnetic Metamaterials.- Stability of Discrete Breathers in Magnetic Metamaterials.- Other Nonlinear Models Checking the Validity of Truncating the Cumulant Hierarchy Description of a Small System.- Shape-Invariant Solitons in Nematic Liquid Crystals: The Influence of Noise.- Conservation Laws of a Family of Reaction-Diffusion-Convection Equations.- Effects Induced in Complex Biological Systems by High-Density Green Photons.