Carretero-González R., Cuevas-Maraver J., Frantzeskakis D., Karachalios N., Kevrekidis P., Palmero-Acebedo F. (Eds.) Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives

Springer, 2014. - 435 p. - 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.Nonlinear Schrodinger Models: Continuum and Discrete
Solitons and Their Ghosts in PT-Symmetric Systems with Defocusing Nonlinearities (by V. Achilleos, P.G. Kevrekidis, D.J. Frantzeskakis, and R. Carretero-Gonzalez).
Coding of Nonlinear States for NLS-Type Equations with Periodic Potential (by G.L. Alfimov and A.I. Avramenko).
Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrodinger Dimers (by Stefano Lepri and Giulio Casati).
Breather Solutions of the Discrete p-Schrodinger Equation (by Guillaume James and Yuli Starosvetsky).
Bose-Einstein Condensates (BECs) and Nonlinear Optics
Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length (by Antun Balaž and Alexandru I. Nicolin).
Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover (by Luca Salasnich).
N-Soliton Interactions for the Manakov System: Effects of External Potentials (by V.S. Gerdjikov and M.D. Todorov).
Wave Modes Trapped in Rotating Nonlinear Potentials (by Yongyao Li, Wei Pang, and Boris A. Malomed).
Light Propagation in Two Dimensional Plasmonic Arrays (by Danhua Wang and Alejandro B. Aceves).
Nonlinear Dynamical Lattices
Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers (by Manuel G. Velarde, Werner Ebeling, and Alexander P. Chetverikov).
Variational Approximation to Electron Trapping by Soliton-Like Localized Excitations in One-Dimensional Anharmonic Lattices (by Luis A. Cisneros-Ake, Antonmaria A. Minzoni, and Manuel G. Velarde).
Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice (by Yaroslav Zolotaryuk).
Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles (by V.J. Sanchez-Morcillo, N. Jimenez, J. Chaline, A. Bouakaz, and S. Dos Santos).
Quodons and Muscovite Mica
Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation (by V. Dubinko and R. Shapovalov).
Energy Gain by Discrete Particle Non-linear Lattice Excitations (by F.M. Russell).
Supersonic Kinks in Coulomb Lattices (by Juan F.R. Archilla, Yuriy A. Kosevich, Noe Jimenez, Victor J. Sanchez-Morcillo, and Luis M. Garcia-Raffi).
Magnetic Metamaterials
Travelling Waves in Nonlinear Magnetic Metamaterials (by J. Diblik, M. Feckan, M. Pospišil, V.M. Rothos, and H. Susanto).
Stability of Discrete Breathers in Magnetic Metamaterials (by Dmitry Pelinovsky and Vassilis Rothos).
Other Nonlinear Models
Checking the Validity of Truncating the Cumulant Hierarchy Description of a Small System (by Manuel Morillo, Jose Gomez-Ordonez, and Jose M. Casado).
Shape-Invariant Solitons in Nematic Liquid Crystals: The Influence of Noise (by Milivoj R. Belic, Milan S. Petrovic, Aleksandra I. Strinic, and Najdan B. Aleksic).
Conservation Laws of a Family of Reaction-Diffusion-Convection Equations (by M.S. Bruzуn, M.L. Gandarias, and R. de la Rosa).
Effects Induced in Complex Biological Systems by High Density Green Photons (by Sorin Comorosan, Silviu Polosan, Marian Apostol, Irinel Popescu, Ileana Farcasanu, Liliana Paslaru, and Elena Ionescu).