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Nonlinear Waves in Integrable and Nonintegrable Systems Click on picture to view full-size image Nonlinear Waves in Integrable and Nonintegrable Systems

Jianke Yang



Mathematical Modeling and Computation 16

Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind. The book

• also covers in great depth analytical methods for integrable equations;
• comprehensively describes efficient numerical methods for all major aspects of nonlinear wave computations;
• contains a chapter on nonlinear waves in periodic media, where many novel phenomena due to bandgap guidance are revealed and thoroughly analyzed;
• presents the latest experiments on nonlinear waves in optical systems and Bose–Einstein condensates, especially in periodic media; and
• contains a large number of simple and efficient MATLAB® codes for various types of nonlinear wave computations, which readers can easily adapt to solve their own problems. The codes can also be found on an associated Web page.


Audience
This book is intended for researchers and graduate students working in applied mathematics and various physical subjects, such as nonlinear optics, Bose–Einstein condensates, and fluid dynamics, where nonlinear wave phenomena arise.

Contents
Preface
Index

About the Authors
Jianke Yang is Professor of Applied Mathematics at the University of Vermont. He is a member of the Society for Industrial and Applied Mathematics and the Optical Society of America.



Keywords
integrable systems, non-integrable systems, analytical methods, numerical methods, physical experiments

2010 / xxvi + 430 / Softcover / ISBN: 978-0-898717-05-1
List Price $88.00 / SIAM Member Price $61.60 / Order Code MM16
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Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)