Non-linear waves in lattices: past, present, future

In the present work, we attempt a brief summary of various areas where non-linear waves have been emerging in the phenomenology of lattice dynamical systems. These areas include non-linear optics, atomic physics, mechanical systems, electrical lattices, non-linear metamaterials, plasma dynamics and...

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Bibliographic Details
Published inIMA journal of applied mathematics Vol. 76; no. 3; pp. 389 - 423
Main Author Kevrekidis, P. G.
Format Journal Article
LanguageEnglish
Published 01.06.2011
Subjects
Dynamical systems
Lattices
Mathematical analysis
Mechanical systems
Metamaterials
Nonlinearity
Phenomenology
Plasma dynamics
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ISSN0272-4960
1464-3634
DOI10.1093/imamat/hxr015

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Summary:In the present work, we attempt a brief summary of various areas where non-linear waves have been emerging in the phenomenology of lattice dynamical systems. These areas include non-linear optics, atomic physics, mechanical systems, electrical lattices, non-linear metamaterials, plasma dynamics and granular crystals. We give some of the recent developments in each one of these areas and speculate on some of the potentially interesting directions for future study.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxr015