The Discrete Nonlinear Schrödinger Equation
Mathematical Analysis, Numerical Computations and Physical Perspectives
Published on 29. November 2011
Book
Paperback/Softback
XX, 416 pages
978-3-642-24243-4 (ISBN)
Description
Panayotis G. Kevrekidis received a B.S. in Physics from University of Athens, an M.S., M.Phil and Ph.D in Physics from Rutgers University. After a post-doctoral year between Princeton University and Los Alamos National Lab, he joined the department of Mathematics and Statistics of UMass, Amherst where he is currently an Associate Professor. He has published more than 200 research papers and has received a CAREER award in Applied Mathematics from the U.S. National Science Foundation, as well as very recently a Humboldt Research Fellowship from the Alexander von Humboldt Foundation.
Reviews / Votes
From the reviews:
"The collection contains 22 articles on various aspects of the discrete nonlinear Schrödinger equation . . The book provides a comprehensive and useful guide to the substantial mathematical and physical literature on the discrete nonlinear Schrödinger equation, both for novices and experts in the field." (Karsten Matthies, Mathematical Reviews, Issue 2012 e)More details
Series
Edition
2009 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
427 s/w Abbildungen, 85 farbige Abbildungen
XX, 416 p. 512 illus., 85 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 24 mm
Weight
657 gr
ISBN-13
978-3-642-24243-4 (9783642242434)
DOI
10.1007/978-3-540-89199-4
Schweitzer Classification
Other editions
Additional editions
Panayotis G. Kevrekidis
The Discrete Nonlinear Schrödinger Equation
Mathematical Analysis, Numerical Computations and Physical Perspectives
Book
07/2009
Springer
€213.99
Shipment within 10-15 days
Person
Panayotis G. Kevrekidis received a B.S. in Physics from University of Athens, an M.S., M.Phil and Ph.D in Physics from Rutgers University. After a post-doctoral year between Princeton University and Los Alamos National Lab, he joined the department of Mathematics and Statistics of UMass, Amherst where he is currently an Associate Professor. He has published more than 200 research papers and has received a CAREER award in Applied Mathematics from the U.S. National Science Foundation, as well as very recently a Humboldt Research Fellowship from the Alexander von Humboldt Foundation.
Content
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 Schr#x00F6;dinger 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.