The Discrete Nonlinear Schrödinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives
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 connect...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2009. |
| Edice: | Springer Tracts in Modern Physics
232 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The discrete nonlinear Schrödinger equation, mathematical analysis, numerical computations and physical perspectives, Panayotis G. Kevrekidis, Berlin, Springer, 2009, 1 vol. (XX-415 p.), Springer tracts in modern physics, 978-3-540-89198-7 |
Obsah:
- I Dimensions and Components General Introduction and Derivation of the DNLS Equation The One-Dimensional Case The Two-Dimensional Case The Three-Dimensional Case The Defocusing Case Extended Solutions and Modulational Instability MultiComponent DNLS Equations II Special Topics Experimental Results Related to DNLS Equations Numerical Methods for DNLS The Dynamics of Unstable Waves A Map Approach to Stationary Solutions of the DNLS Equation Formation of Localized Modes in DNLS Few-Lattice-Site Systems of Discrete Self-Trapping Equations Surface Waves and Boundary Effects in DNLS Equations Discrete Nonlinear Schrödinger Equations with Time-Dependent Coefficients ( of Lattice Solitons) Exceptional Discretizations of the NLS: Exact Solutions and Conservation Laws Solitary Wave Collisions Related Models DNLS with Impurities Statistical Mechanics of DNLS Traveling Solitary Waves in DNLS Equations Decay and Strichartz Estimates for DNLS