The Resource The Discrete Nonlinear Schrödinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives, by Panayotis G. Kevrekidis, (electronic resource)

The Discrete Nonlinear Schrödinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives, by Panayotis G. Kevrekidis, (electronic resource)

Label
The Discrete Nonlinear Schrödinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives
Title
The Discrete Nonlinear Schrödinger Equation
Title remainder
Mathematical Analysis, Numerical Computations and Physical Perspectives
Statement of responsibility
by Panayotis G. Kevrekidis
Creator
Contributor
Author
Provider
Subject
Language
eng
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, 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
Member of
http://library.link/vocab/creatorName
Kevrekidis, Panayotis G
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Tracts in Modern Physics,
Series volume
232
http://library.link/vocab/subjectName
  • Physics
  • Quantum theory
  • Mathematical physics
  • Physics
  • Quantum Physics
  • Mathematical and Computational Physics
Label
The Discrete Nonlinear Schrödinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives, by Panayotis G. Kevrekidis, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
File format
multiple file formats
Form of item
electronic
Isbn
9783540891994
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-89199-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-89199-4
Label
The Discrete Nonlinear Schrödinger Equation : Mathematical Analysis, Numerical Computations and Physical Perspectives, by Panayotis G. Kevrekidis, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
File format
multiple file formats
Form of item
electronic
Isbn
9783540891994
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-89199-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-89199-4

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