Written for an interdisciplinary readership of physicists, engineers, and chemists, this book is a practical guide to the fascinating world of solitons. These waves of large amplitude propagate over long distances without dispersing and therefore show one of the most striking aspects of nonlinearity. The author addresses students, practitioners, and researchers, approaching the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. The book also encourages the readers to perform their own experiments. Since the printing of the second edition of this book, there has been a large growth in the literature on nonlinear waves and so has the wide applicability of the subject to the physical, chemical and biological sciences. Accordingly, this third edition has been thoroughly revised. Some of the topics are brought up to date with pertinent references. Furthermore, the book now includes a completely new chapter on solitary waves in diffuse systems.The discovery of such modes and their active study is an important step towards understanding the role played by ... theory of solitons in continuous models described by integrable nonlinear equations (see previous chapters and Chap 10). ... for self-localization of vibrations in one-dimensional lattice with nonlinear inter-particle coupling without on-site potential. ... suggested that intrinsic localized modes or discrete breathers should be quite general and robust solutions, that exist inanbsp;...
|Title||:||Waves Called Solitons|
|Publisher||:||Springer Science & Business Media - 1999-01-01|