Asymptotic Perturbation Theory Of Waves e-bog
295,53 DKK
(inkl. moms 369,41 DKK)
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, whic...
E-bog
295,53 DKK
Forlag
Imperial College Press
Udgivet
23 september 2014
Længde
228 sider
Genrer
AVGU
Sprog
English
Format
epub
Beskyttelse
LCP
ISBN
9781783264735
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.