Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons - Couverture souple

Mark J., Ablowitz J.

Couverture souple

ISBN 10 : 1107664101 ISBN 13 : 9781107664104

Editeur : 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.

A propos du livre

À propos de l?auteur

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

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 1107664101
• ISBN 13: 9781107664104
• Reliure: Broché
• Nombre de pages: 364
• Coordonnées du fabricant: non disponible