Usama Al Khawaja, Laila Al Sakkaf

Handbook of Exact Solutions to the Nonlinear Schrödinger Equations (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Institute of Physics Publishing
• Seitenzahl: 375
• Erscheinungstermin: 15. November 2019
• Englisch
• ISBN-13: 9780750324281
• Artikelnr.: 58337124

Autorenporträt

Usama Al Khawaja obtained his Bachelor's degree in Physics from the University of Jordan in 1992 and Master's degree in Physics from the University of Jordan in 1996. 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. His main achievements in integrability and exact solutions include developing a systematic search method of finding Lax pairs of a given nonlinear partial differential equation. He also developed a convergent power series method for solving nonlinear differential equations. He has authored more than 90 papers and obtained one patent on applying discrete solitons in all-optical operations.