9781107012547

Nonlinear Dispersive Waves

Format: Hardcover

ISBN13: 9781107012547

Hardcover|9781107012547


Overview

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. of applied mathematics, engineering and physical science. of applied mathematics, engineering and physical science. of applied mathematics, engineering and physical science.

ISBN-13

9781107012547

ISBN-10

1107012546

Weight

1.43 Pounds

Dimensions

6.00 x 0.81 x 9.00 In

List Price

$206.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

362 pages

Publisher

Cambridge University Press

Published On

2011-09-08



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