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...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Kevrekidis, Panayotis G.
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Rhifyn:1st ed. 2009.
Cyfres:Springer Tracts in Modern Physics 232
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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
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100 1 |a Kevrekidis, Panayotis G. 
245 1 0 |a The Discrete Nonlinear Schrödinger Equation :  |b Mathematical Analysis, Numerical Computations and Physical Perspectives   |c by Panayotis G. Kevrekidis. 
250 |a 1st ed. 2009. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
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505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Théorie quantique 
650 |a Systèmes non linéaires 
650 |a Théories non linéaires 
650 |a Équation de Schrödinger 
650 |a Physique 
650 |a Physique mathématique 
650 |a Équations d'onde non linéaires 
776 0 |0 139772510  |t The discrete nonlinear Schrödinger equation  |o mathematical analysis, numerical computations and physical perspectives  |f Panayotis G. Kevrekidis  |c Berlin  |n Springer  |d 2009  |p 1 vol. (XX-415 p.)  |s Springer tracts in modern physics  |z 978-3-540-89198-7 
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