Description: 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.
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EAN: 9781107664104
UPC: 9781107664104
ISBN: 9781107664104
MPN: N/A
Book Title: Nonlinear Dispersive Waves: Asymptotic Analysis an
Item Length: 22.6 cm
Number of Pages: 362 Pages
Publication Name: Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons
Language: English
Publisher: Cambridge University Press
Item Height: 229 mm
Subject: Mechanics, Mathematics
Publication Year: 2011
Type: Textbook
Item Weight: 520 g
Author: Mark J. Ablowitz
Item Width: 151 mm
Format: Paperback
