书目名称 | The Discrete Nonlinear Schrödinger Equation | 副标题 | Mathematical Analysi | 编辑 | Panayotis G. Kevrekidis | 视频video | | 概述 | First book on nonlinear Schrödinger equation.Systematical treatment and derivation of the nonlinear Schrödinger equation.Establishes connections to the application of this theory to spacial lattice di | 丛书名称 | Springer Tracts in Modern Physics | 图书封面 |  | 描述 | .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, it features 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.. | 出版日期 | Book 2009 | 关键词 | DNLS; Nonlinear science; Solitary waves; calculus; differential equation; numerical methods | 版次 | 1 | doi | https://doi.org/10.1007/978-3-540-89199-4 | isbn_softcover | 978-3-642-24243-4 | isbn_ebook | 978-3-540-89199-4Series ISSN 0081-3869 Series E-ISSN 1615-0430 | issn_series | 0081-3869 | copyright | Springer-Verlag Berlin Heidelberg 2009 |
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