Name: Localized Excitations in Nonlinear Complex Systems
ISBN: 978-3-319-02057-0

Editors:

Ricardo Carretero-González⁰,
Jesús Cuevas-Maraver¹,
Dimitri Frantzeskakis²,
Nikos Karachalios³,
Panayotis Kevrekidis⁴,
…
Faustino Palmero-Acebedo⁵

Ricardo Carretero-González
1. Dept. of Mathematics and Statistics, San Diego State University, San Diego, USA
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Jesús Cuevas-Maraver
1. Dept. de Física Aplicada I, Escuela Politécnica Superior, University of Sevilla, Sevilla, Spain
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Dimitri Frantzeskakis
1. Dept. of Physics, University of Athens, Athens, Greece
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Nikos Karachalios
1. Dept. of Mathematics, University of the Aegean, Samos, Greece
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Panayotis Kevrekidis
1. Mathematics and Statistics, University of Massachusetts, Amherst, USA
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Faustino Palmero-Acebedo
1. Dept. de Física Aplicada I, E.T.S.I. Informática, University of Sevilla, Sevilla, Spain
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Provides a combination of theory and experiment, mathematics and physics with connections to engineering
Gives guidance to predicting phenomena in nonlinear and complex systems
Represents the state-of-the-art of localized excitation research
Includes supplementary material: sn.pub/extras

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 7)

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Table of contents (22 chapters)

Front Matter

Pages i-xx

PDF
Nonlinear Schrödinger Models: Continuum and Discrete
1. Front Matter
  
  Pages 1-1
  
  PDF
2. Solitons and Their Ghosts in \(\mathcal{P}\mathcal{T}\) -Symmetric Systems with Defocusing Nonlinearities
  
  V. Achilleos, P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González
  
  Pages 3-42
3. Coding of Nonlinear States for NLS-Type Equations with Periodic Potential
  
  G. L. Alfimov, A. I. Avramenko
  
  Pages 43-61
4. Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers
  
  Stefano Lepri, Giulio Casati
  
  Pages 63-75
5. Breather Solutions of the Discrete p-Schrödinger Equation
  
  Guillaume James, Yuli Starosvetsky
  
  Pages 77-115
Bose-Einstein Condensates (BECs) and Nonlinear Optics
1. Front Matter
  
  Pages 117-117
  
  PDF
2. Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length
  
  Antun Balaž, Alexandru I. Nicolin
  
  Pages 119-129
3. Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover
  
  Luca Salasnich
  
  Pages 131-146
4. N-Soliton Interactions for the Manakov System: Effects of External Potentials
  
  V. S. Gerdjikov, M. D. Todorov
  
  Pages 147-169
5. Wave Modes Trapped in Rotating Nonlinear Potentials
  
  Yongyao Li, Wei Pang, Boris A. Malomed
  
  Pages 171-192
6. Light Propagation in Two Dimensional Plasmonic Arrays
  
  Danhua Wang, Alejandro B. Aceves
  
  Pages 193-209
Nonlinear Dynamical Lattices
1. Front Matter
  
  Pages 211-211
  
  PDF
2. Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers
  
  Manuel G. Velarde, Werner Ebeling, Alexander P. Chetverikov
  
  Pages 213-224
3. Variational Approximation to Electron Trapping by Soliton-Like Localized Excitations in One-Dimensional Anharmonic Lattices
  
  Luis A. Cisneros-Ake, Antonmaria A. Minzoni, Manuel G. Velarde
  
  Pages 225-235
4. Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice
  
  Yaroslav Zolotaryuk
  
  Pages 237-250
5. Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles
  
  V. J. Sánchez-Morcillo, N. Jiménez, J. Chaline, A. Bouakaz, S. Dos Santos
  
  Pages 251-262
Quodons and Muscovite Mica
1. Front Matter
  
  Pages 263-263
  
  PDF
2. Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation
  
  V. Dubinko, R. Shapovalov
  
  Pages 265-288
3. Energy Gain by Discrete Particle Non-linear Lattice Excitations
  
  F. M. Russell
  
  Pages 289-315

About this book

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.

Keywords

Editors and Affiliations

Dept. of Mathematics and Statistics, San Diego State University, San Diego, USA

Ricardo Carretero-González
Dept. de Física Aplicada I, Escuela Politécnica Superior, University of Sevilla, Sevilla, Spain

Jesús Cuevas-Maraver
Dept. of Physics, University of Athens, Athens, Greece

Dimitri Frantzeskakis
Dept. of Mathematics, University of the Aegean, Samos, Greece

Nikos Karachalios
Mathematics and Statistics, University of Massachusetts, Amherst, USA

Panayotis Kevrekidis
Dept. de Física Aplicada I, E.T.S.I. Informática, University of Sevilla, Sevilla, Spain

Faustino Palmero-Acebedo

Bibliographic Information

Book Title: Localized Excitations in Nonlinear Complex Systems
Book Subtitle: Current State of the Art and Future Perspectives
Editors: Ricardo Carretero-González, Jesús Cuevas-Maraver, Dimitri Frantzeskakis, Nikos Karachalios, Panayotis Kevrekidis, Faustino Palmero-Acebedo
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-3-319-02057-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-02056-3Published: 03 December 2013
Softcover ISBN: 978-3-319-35031-8Published: 23 August 2016
eBook ISBN: 978-3-319-02057-0Published: 19 November 2013
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: XX, 432
Number of Illustrations: 58 b/w illustrations, 117 illustrations in colour
Topics: Complex Systems, Solid State Physics, Complexity, Complex Systems, Mathematical Methods in Physics, Mathematical and Computational Engineering

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Table of contents (22 chapters)

Front Matter

Nonlinear Schrödinger Models: Continuum and Discrete

Front Matter

Bose-Einstein Condensates (BECs) and Nonlinear Optics

Front Matter

Nonlinear Dynamical Lattices

Front Matter

Quodons and Muscovite Mica

Front Matter

About this book

Keywords

Editors and Affiliations

Dept. of Mathematics and Statistics, San Diego State University, San Diego, USA

Dept. de Física Aplicada I, Escuela Politécnica Superior, University of Sevilla, Sevilla, Spain

Dept. of Physics, University of Athens, Athens, Greece

Dept. of Mathematics, University of the Aegean, Samos, Greece

Mathematics and Statistics, University of Massachusetts, Amherst, USA

Dept. de Física Aplicada I, E.T.S.I. Informática, University of Sevilla, Sevilla, Spain

Bibliographic Information

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Buy it now

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