
Nonlinear Waves in Integrable and Nonintegrable Systems
Jianke Yang(Author)
Society for Industrial & Applied Mathematics,U.S. (Publisher)
Published on 30. November 2010
Book
Paperback/Softback
456 pages
978-0-89871-705-1 (ISBN)
Description
Presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical methods for nonintegrable systems is the first of its kind. It also covers in great depth analytical methods for integrable equations, and comprehensively describes efficient numerical methods for all major aspects of nonlinear wave computations. In addition, this book presents the latest experiments on nonlinear waves in optical systems and Bose-Einstein condensates, especially in periodic media. The book contains a large number of simple and efficient MATLAB (R) codes for various nonlinear wave computations, which readers can easily adapt to solve their own problems. The codes can also be found on an associated Web page.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Dimensions
Height: 255 mm
Width: 178 mm
Thickness: 22 mm
Weight
780 gr
ISBN-13
978-0-89871-705-1 (9780898717051)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Jianke Yang is Professor of Applied Mathematics at the University of Vermont. He is a member of the Society of Industrial and Applied Mathematics and the Optical Society of America.
Content
List of Figures
Preface
Chapter 1. Derivation of nonlinear wave equations
Chapter 2. Integrable theory for the nonlinear Schroedinger equation
Chapter 3. Theories for integrable equations with higher-order scattering operators
Chapter 4. Soliton perturbation theories and applications
Chapter 5. Theories for nonintegrable equations
Chapter 6. Nonlinear wave phenomena in periodic media
Chapter 7. Numerical methods for nonlinear wave equations
Bibliography
Index.
Preface
Chapter 1. Derivation of nonlinear wave equations
Chapter 2. Integrable theory for the nonlinear Schroedinger equation
Chapter 3. Theories for integrable equations with higher-order scattering operators
Chapter 4. Soliton perturbation theories and applications
Chapter 5. Theories for nonintegrable equations
Chapter 6. Nonlinear wave phenomena in periodic media
Chapter 7. Numerical methods for nonlinear wave equations
Bibliography
Index.