Darboux Transformation of Nonlinear Schrödinger Equations

Name: Darboux Transformation of Nonlinear Schrödinger Equations
Brand: CRC Press
SKU: 9781041018254
Price: 19352.0 INR
Availability: OutOfStock

by Laila Al Sakkaf , Usama Al Khawaja

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ISBN13: 9781041018254
Binding: Hardcover
Subject: N/A
Publisher: CRC Press
Publisher Imprint: CRC Press
Publication Date: July 14, 2026
Pages: 266
Original Price: GBP 155.0
Language: English
Edition: N/A
Item Weight: 554 grams
BISAC Subject(s): Physics / Mathematical & Computational

About The Book

Darboux Transformation of Nonlinear Schr�dinger Equations: A Guide and a Tutorial is an easy to follow guide for the application of the Darboux transformation (DT) to the nonlinear Schr�dinger equation (NLSE), including all versions that admit a Lax Pair such as integrable NLSEs. It comes packed with detailed calculations leading to exact solutions, worked examples, and downloadable Mathematica code. Often these materials are scattered across various papers and different textbooks, or they focus on various nonlinear differential equations. The present book will be totally focused on NLSE, which allows for extensive details to be presented. It is suitable for graduate researchers conducting specialized research in nonlinear physics and applied mathematics.

Key Features:

Contains a large number of worked-out examples in detail
Provides tips, shortcuts, and subtle details in obtaining exact solutions
Presents a systematic search method for finding Lax Pairs
Compiles a list of all known Lax Pairs to the NLSEs considered in the book
Applies the method to other nonlinear equations, including the KdV and AKNS systems

About The Author

Laila Al Sakkaf is an Assistant Professor in the Department of Applied Sciences, College of Engineering, at Abu Dhabi University. Her research interests encompass integrability and exact solutions of differential equations, particularly those modeling nonlinear physical phenomena, including soliton scattering. She developed a highly efficient numerical code based on power expansion for solving nonlinear differential equations. In 2023, Laila obtained a patent on focusing light using acoustic field.

Usama Al Khawaja is a Professor of Physics at the University of Jordan. His main research interests are integrability and exact solutions, nonlinear and quantum optics, quantum computation, and Bose-Einstein condensation. 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 highly-accurate convergent power series method for solving regular and fractional nonlinear partial differential equations. He authored more than 100 papers and obtained two patents on applying discrete solitons in all-optical operations, and in converging light using acoustic waves.

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