Panayotis G. Kevrekidis

The Discrete Nonlinear Schrödinger Equation

Mathematical Analysis, Numerical Computations and Physical Perspectives

Buch

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… Mehr

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Produktdetails

ISBN: 978-3-540-89198-7
EAN: 9783540891987
Produktnummer: 4548891
Verlag: Springer-Verlag GmbH
Sprache: Englisch
Erscheinungsjahr: 2009
Seitenangabe: 415 S.
Masse: H24.1 cm x B16.0 cm x D3.1 cm 896 g
Abbildungen: 155 schwarz-weiße und 20 farbige Abbildungen
Reihenbandnummer: 232
Gewicht: 896

Über den Autor

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.