The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives (Springer Tracts in Modern Physics)

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9783642242434: The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives (Springer Tracts in Modern Physics)
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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.

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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.

About the Author:

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.

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Book Description Springer, 2011. Condition: New. 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 Schrodinger equation and the physical settings that it describes. Series: Springer Tracts in Modern Physics. Num Pages: 436 pages, 427 black & white illustrations, 85 colour illustrations, 4 black & white tables, biograp. BIC Classification: PHQ; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 23. Weight in Grams: 655. . 2011. 2009th Edition. Paperback. . . . . . Seller Inventory # V9783642242434

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Book Description Paperback. Condition: New. Not Signed; Adventures of nonlinear science were perhaps most notably seeded at the Los Alamos National Laboratory (LANL) over half a century ago with the fundamental questionsofenergyequipartitioninnonlinearsystems, astheywereposedbyFermi, Pasta, and Ulam. At the time, probably little could be imagined of the. book. Seller Inventory # ria9783642242434_rkm

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Book Description Springer. Condition: New. 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 Schrodinger equation and the physical settings that it describes. Series: Springer Tracts in Modern Physics. Num Pages: 436 pages, 427 black & white illustrations, 85 colour illustrations, 4 black & white tables, biograp. BIC Classification: PHQ; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 23. Weight in Grams: 655. . 2011. 2009th Edition. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9783642242434

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