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The Defocusing Nonlinear Schrödinger Equation

The Defocusing Nonlinear Schrödinger Equation
From Dark Solitons to Vortices and Vortex Rings

$106.00 (P)

  • Date Published: October 2016
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9781611973938

$ 106.00 (P)
Paperback

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About the Authors
  • 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.

    • This is a broad study of nonlinear excitations in self-defocusing nonlinear media
    • Summarizes state-of-the-art knowledge on the defocusing nonlinear Schrödinger-type models in a single volume
    • Contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation
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    Product details

    • Date Published: October 2016
    • format: Paperback
    • isbn: 9781611973938
    • length: 446 pages
    • dimensions: 254 x 176 x 26 mm
    • weight: 0.91kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

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

  • Authors

    Panayotis G. Kevrekidis, University of Massachusetts, Amherst
    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.

    Dimitri J. Frantzeskakis, University of Athens, Greece
    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.

    Ricardo Carretero-González, San Diego State University
    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.

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