Asymptotic perturbation theory of waves

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...

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Bibliographic Details
Main Author Ostrovskiĭ, L. A. (Author)
Format Electronic eBook
LanguageEnglish
Published Hackensack, NJ : Imperial College Press, [2014]
Subjects
Wave-motion, Theory of.
Perturbation (Mathematics)
Nonlinear wave equations.
Differential equations > Asymptotic theory.
elektronické knihy
electronic books
Online AccessFull text
ISBN9781848162365
1848162367
9781680158595
1680158597
9781848162358
1848162359
Physical Description1 online resource

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Table of Contents:
  • Perturbed oscillations and waves: introductory examples
  • Perturbation method for quasi-harmonic waves
  • Perturbation method for non-sinusoidal waves
  • Nonlinear waves of modulation
  • Perturbation methods for solitary waves and fronts
  • Perturbed solitons
  • Interaction and ensembles of solitons and kinks
  • Dissipative and active systems. Autowaves.

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