Overview
This book is the result of years of work by the authors, looking to serve the research communities involved with the NLSE by collecting all known solutions in one resource. In addition, the book organizes the solutions by classifying and grouping them based on aspects and symmetries they possess. Although most of the solutions presented in this book have been derived elsewhere using various methods, the authors present a systematic derivation of many solutions and even include new derivations. They have also presented symmetries and reductions that connect different solutions through transformations and enable classifying new solutions into known classes. For the user to verify that the presented solutions do satisfy the NLSE, this monumental work is accompanied by Mathematica notebooks containing all solutions. This work also features a large number of figures, and animations are included to help visualize solutions and their dynamics.
Full Product Details
Author: Usama Al Khawaja (University of Jordan, Amman, Jordan) ,
Laila Al Sakkaf (Physics Department, United Arab Emirates University, Al-Ain, United Arab Emirates)
Publisher: Institute of Physics Publishing
Imprint: Institute of Physics Publishing
Dimensions:
Width: 17.80cm
, Height: 2.20cm
, Length: 25.40cm
Weight: 0.902kg
ISBN: 9780750324267
ISBN 10: 0750324260
Pages: 395
Publication Date: 15 November 2019
Audience:
Professional and scholarly
,
Professional & Vocational
Replaced By: 9780750359528
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Author Information
Usama Al Khawaja obtained his bachelor's and master's degrees in physics from The University of Jordan in 1992 and 1996 respectively. He earned his PhD degree in theoretical physics from the University of Copenhagen in 1999. He spent three years of postdoctoral research at Utrecht University in the Netherlands before joining the United Arab Emirates University in 2002 as an assistant professor. He is currently a full professor and Chairman of the physics department at the United Arab Emirates University. His main areas of research are Bose–Einstein condensation, nonlinear and quantum optics, integrability and exact solutions. He has authored more than 70 papers and obtained one patent on applying discrete solitons in all-optical operations. Laila Al Sakkaf obtained her bachelor's and then her master's degree in physics from the United Arab Emirates University in 2015 and 2018. She is currently a research assistant and a PhD student at the physics department of the United Arab Emirates University. Her current research focus is on integrability and exact solutions of differential equations modeling nonlinear physical phenomena.
