Asymptotic perturbation theory of waves /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ostrovskiĭ, L. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, NJ : Imperial College Press, [2014]
Temas:
Wave-motion, Theory of.
Perturbation (Mathematics)
Nonlinear wave equations.
Differential equations > Asymptotic theory.
Théorie du mouvement ondulatoire.
Perturbation (Mathématiques)
Équations d'onde non linéaires.
Équations différentielles > Théorie asymptotique.
SCIENCE > Mechanics > General.
SCIENCE > Mechanics > Solids.
Acceso en línea:Texto completo
Descripción
Sumario: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 theore.
Descripción Física:1 online resource
Bibliografía:Includes bibliographical references and index.
ISBN:9781848162365
1848162367
9781680158595
1680158597

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