ENGLISH

Asymptotic Perturbation Theory of Waves

By Lev Ostrovsky

Book information

Publisher
Imperial College Press
Year
2014
ISBN
1848162359, 9781848162358
Language
english
Format
PDF
Filesize
6 MB (6089134 bytes)
Edition
1
Pages
300\227
Scanned
yes
Time added
2014-10-11 10:09:57
Механика;Теория колебаний

Description

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution. The method, which does not depend on integrability of basic equations, is applied to quasi-harmonic and non-harmonic periodic waves, as well as to localized waves such as solitons, kinks, and autowaves. The basic theoretical ideas are illustrated by many physical examples throughout the book.Readership: Graduate students and young researchers in nonlinear science, physicists and applied mathematicians.

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