Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons: 47 (Cambridge Texts in Applied Mathematics, Series Number 47) - Hardcover

Ablowitz, Mark J.

Hardcover

ISBN 10: 1107012546 ISBN 13: 9781107012547

Publisher: Cambridge University Press, 2011

Synopsis

The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.

About this title

About the Author

Mark J. Ablowitz is Professor of Applied Mathematics at the University of Colorado, Boulder.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2011
• ISBN 10: 1107012546
• ISBN 13: 9781107012547
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 362