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Nonlinear Dispersive Waves

Asymptotic Analysis and Solitons

Language EnglishEnglish
Book Hardback
Book Nonlinear Dispersive Waves Mark J Ablowitz
Libristo code: 04385550
Publishers Cambridge University Press, September 2011
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussines... Full description
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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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About the book

Full name Nonlinear Dispersive Waves
Language English
Binding Book - Hardback
Date of issue 2011
Number of pages 362
EAN 9781107012547
ISBN 1107012546
Libristo code 04385550
Weight 644
Dimensions 227 x 155 x 23
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