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Localized Excitations in Nonlinear Complex Systems

Part of the Nonlinear Systems and Complexity Book Series (volume 7)

Editors: Carretero-González, Ricardo; Cuevas-Maraver, Jesús; Frantzeskakis, Dimitri; Karachalios, Nikos; Kevrekidis, Panayotis; Palmero-Acebedo, Faustino

DOI: 10.1007/978-3-319-02057-0

ISBN: 978-3-319-02056-3

Publisher: Springer International Publishing - Springer Journals

Oct 21, 2013

1 - 10 of 22 Chapters

LitStream

Solitons and Their Ghosts in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{P}\mathcal{T}$$ \end{document} -Symmetric Systems with Defocusing Nonlinearities

Achilleos, V.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Carretero-González, R.

Pages: 3 –42

[We examine a prototypical nonlinear Schrödinger model bearing a defocusing nonlinearity and Parity-Time (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Coding of Nonlinear States for NLS-Type Equations with Periodic Potential

Alfimov, G. L.; Avramenko, A. I.

Pages: 43 –61

[The problem of complete description of nonlinear states for NLS-type equations with periodic potential is considered. We show that in some cases all nonlinear states for equations of such kind can be coded by bi-infinite sequences of symbols of N-symbol alphabet (words). Sufficient conditions...
LitStream

Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers

Lepri, Stefano; Casati, Giulio

Pages: 63 –75

[We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schrödinger equation with spatially varying coefficients embedded in an otherwise linear lattice. Focusing on the simplest case of...
LitStream

Breather Solutions of the Discrete p-Schrödinger Equation

James, Guillaume; Starosvetsky, Yuli

Pages: 77 –115

[We consider the discrete p-Schrödinger (DpS) equation, which approximates small amplitude oscillations in chains of oscillators with fully-nonlinear nearest-neighbors interactions of order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}...
LitStream

Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length

Balaž, Antun; Nicolin, Alexandru I.

Pages: 119 –129

[Motivated by recent experimental results on the dynamics of a cigar-shaped7Li Bose-Einstein condensate subject to periodic modulation of the scattering length, we investigate here the dynamics of the condensate by numerical and analytical means and show that for resonant drives of large...
LitStream

Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover

Salasnich, Luca

Pages: 131 –146

[In the first part of this chapter we analyze the contact intensity C, which has been introduced by Tan (Ann Phys 323:2952 (2008)) and appears in several physical observables of the strongly correlated two-component Fermi gas. We calculate the contact C in the full BCS-BEC crossover for a uniform...
LitStream

N-Soliton Interactions for the Manakov System: Effects of External Potentials

Gerdjikov, V. S.; Todorov, M. D.

Pages: 147 –169

[We analyze the dynamical behavior of the N-soliton train in adiabatic approximation of the Manakov system (MS) perturbed by three types of external potentials: periodic, quadratic and quartic ones. We show that the dynamics of the N-soliton train is modeled by a perturbed complex Toda chain for...
LitStream

Wave Modes Trapped in Rotating Nonlinear Potentials

Li, Yongyao; Pang, Wei; Malomed, Boris A.

Pages: 171 –192

[We study modes trapped in a rotating ring with the local strength of the nonlinearity modulated as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Light Propagation in Two Dimensional Plasmonic Arrays

Wang, Danhua; Aceves, Alejandro B.

Pages: 193 –209

[We present results on the dynamics of light beams propagating in two dimensional dielectric/metallic waveguides. We show how different configurations provide a rich dynamics of localization, solitary wave formation and instabilities.]
LitStream

Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers

Velarde, Manuel G.; Ebeling, Werner; Chetverikov, Alexander P.

Pages: 213 –224

[We study here localized excitations in a Morse lattice model of two-dimensional CuO2 layers (cuprates in short). The Cu-atoms are positioned motionless in a square lattice and the oxygen atoms are able to oscillate around originally equilibrium positions on another superposed square lattice....

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