The Nonlinear Schrödinger Equation

Singular Solutions and Optical Collapse

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Biological Sciences, Molecular Physics
Cover of the book The Nonlinear Schrödinger Equation by Gadi Fibich, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gadi Fibich ISBN: 9783319127484
Publisher: Springer International Publishing Publication: March 6, 2015
Imprint: Springer Language: English
Author: Gadi Fibich
ISBN: 9783319127484
Publisher: Springer International Publishing
Publication: March 6, 2015
Imprint: Springer
Language: English

This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. It combines rigorous analysis, asymptotic analysis, informal arguments, numerical simulations, physical modelling, and physical experiments. It repeatedly emphasizes the relations between these approaches, and the intuition behind the results.

The Nonlinear Schrödinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on partial differential equations, nonlinear waves, and nonlinear optics.

Gadi Fibich is a Professor of Applied Mathematics at Tel Aviv University.

“This book provides a clear presentation of the nonlinear Schrodinger equation and its applications from various perspectives (rigorous analysis, informal analysis, and physics). It will be extremely useful for students and researchers who enter this field.”

Frank Merle, Université de Cergy-Pontoise and Institut des Hautes Études Scientifiques, France

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. It combines rigorous analysis, asymptotic analysis, informal arguments, numerical simulations, physical modelling, and physical experiments. It repeatedly emphasizes the relations between these approaches, and the intuition behind the results.

The Nonlinear Schrödinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on partial differential equations, nonlinear waves, and nonlinear optics.

Gadi Fibich is a Professor of Applied Mathematics at Tel Aviv University.

“This book provides a clear presentation of the nonlinear Schrodinger equation and its applications from various perspectives (rigorous analysis, informal analysis, and physics). It will be extremely useful for students and researchers who enter this field.”

Frank Merle, Université de Cergy-Pontoise and Institut des Hautes Études Scientifiques, France

More books from Springer International Publishing

Cover of the book Advanced Interfacing Techniques for Sensors by Gadi Fibich
Cover of the book Evidence-Based Implant Dentistry by Gadi Fibich
Cover of the book Fundamentals of Protein Structure and Function by Gadi Fibich
Cover of the book Transnationalism and German-Language Literature in the Twenty-First Century by Gadi Fibich
Cover of the book Advances in Cryptology – EUROCRYPT 2017 by Gadi Fibich
Cover of the book Innovations in Biomedical Engineering by Gadi Fibich
Cover of the book Computational Science – ICCS 2018 by Gadi Fibich
Cover of the book Empirical Studies on Economics of Innovation, Public Economics and Management by Gadi Fibich
Cover of the book The Capsicum Genome by Gadi Fibich
Cover of the book Demand Forecasting for Inventory Control by Gadi Fibich
Cover of the book Progress in Systems Engineering by Gadi Fibich
Cover of the book When Trucks Stop Running by Gadi Fibich
Cover of the book Himalayan Quality of Life by Gadi Fibich
Cover of the book Analytics in Smart Tourism Design by Gadi Fibich
Cover of the book Crisis of Legitimacy and Political Violence in Uganda, 1890 to 1979 by Gadi Fibich
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy