The discrete nonlinear Schrödinger equation : mathematical analysis, numerical computations and physical perspectives /

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Bibliographic Details
Author / Creator:Kevrekidis, Panayotis G.
Imprint:Berlin ; [London] : Springer, ©2009.
Description:1 online resource (xx, 415 pages) : illustrations.
Language:English
Series:Springer tracts in modern physics, 0081-3869 ; 232
Springer tracts in modern physics ; 232.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11072897
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Other authors / contributors:Carretero-González, Ricardo.
ISBN:9783540891994
3540891994
9783540891987
3540891986
Notes:Includes bibliographical references and index.
Print version record.
Summary:This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes. It contains an introduction to the model, its systematic derivation and its connection to applications, a subsequent analysis of the existence and the stability of fundamental nonlinear structures in 1, 2 and even 3 spatial lattice dimensions. It also covers the case of defocusing nonlinearities, the modulational instabilities of plane wave solutions, and the extension to multi-component lattices. In addition, itfeatures a final chapter on special topics written by a wide array of experts in the field, addressing through short reviews, areas of particular recent interest.
Other form:Print version: Kevrekidis, Panayotis G. Discrete nonlinear Schrödinger equation. Berlin ; [London] : Springer, ©2009 9783540891987 3540891986