Handbook of exact solutions to the nonlinear Schr�odinger equations

• Tác giả: Usama Khawaja, Laila Sakkaf
• Ngôn ngữ: eng
• ISBN-13: 978-0750324267
• ISBN-13: 978-0750324274
• ISBN-13: 978-0750324281
• Ký hiệu phân loại: 530.124 Wave mechanics
• Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2020
• Mô tả vật lý: 1 online resource (various pagings) : , illustrations (some color).
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 160969
• Chủ đề: 1. Differential equations, Nonlinear; 2. Nonlinear wave equations; 3. Schr�odinger equation; 4. Mathematical physics; 5. SCIENCE / Physics / Mathematical & Computational

Includes bibliographical references.

Tóm tắt

This book collects all known solutions to the nonlinear Schr�odinger equation (NLSE) 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.