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The Defocusing Nonlinear Schrödinger Equation - Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis, Ricardo Carretero-González

The Defocusing Nonlinear Schrödinger Equation

From Dark Solitons to Vortices and Vortex Rings
Buch | Softcover
446 Seiten
2015
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-393-8 (ISBN)
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A broad study of nonlinear excitations in self-defocusing nonlinear media, this book presents a wide array of findings in the realm of Bose–Einstein condensates and on the nonlinear Schrödinger-type models that arise therein. Recommended for beginning and experienced researchers in physics, nonlinear science, and applied mathematics.
Bose–Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose–Einstein condensate (BEC). This book, a broad study of nonlinear excitations in self-defocusing nonlinear media, presents a wide array of findings in the realm of BECs and on the nonlinear Schrödinger-type models that arise therein. It summarizes state-of-the-art knowledge on the defocusing nonlinear Schrödinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation. This book is intended for atomic and condensed-matter physicists, nonlinear scientists, and applied mathematicians. It will be equally valuable to beginners and experienced researchers in these fields.

P. G. Kevrekidis is a Professor at the University of Massachusetts, Amherst. He has authored over 450 publications and co-authored/edited five books. He is a Fellow of the APS and a Stanislaw M. Ulam Fellow at the Los Alamos National Laboratory, and he is a recipient of a Humboldt Fellowship, an NSF-CAREER award, the J. D. Crawford Prize in Dynamical Systems, and the Stephanos Pnevmatikos Prize for Research in Nonlinear Phenomena, among others. D. J. Frantzeskakis is a Professor in the Department of Physics at the University of Athens, Greece. His research interests include nonlinear waves and solitons, with applications in various physical contexts. He has supervised seven PhD theses, has co-organized several international symposia, and was a guest editor of two international journals. He has authored or co-authored more than 200 peer-reviewed publications, including four invited review papers, and he has co-edited four books. R. Carretero-González is a Professor of Applied Mathematics at San Diego State University (SDSU). His research focuses on spatio-temporal dynamical systems, nonlinear waves, and their applications. He is the co-founder and co-director of the Nonlinear Dynamical Systems (NLDS) group at SDSU. He has received multiple NSF grants and has published more than 100 peer-reviewed manuscripts, including three co-authored/edited books. He is an active advocate of the dissemination of science, continuously delivers engaging presentations at local high schools and science festivals, and helps design museum exhibits.

Preface; Acknowledgments; 1. Introduction; 2. The one-dimensional case; 3. The two-dimensional case; 4. The three-dimensional case; Bibliography; Index.

Erscheinungsdatum
Verlagsort New York
Sprache englisch
Maße 176 x 254 mm
Gewicht 910 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
ISBN-10 1-61197-393-7 / 1611973937
ISBN-13 978-1-61197-393-8 / 9781611973938
Zustand Neuware
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