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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ostrovskiĭ, L. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, NJ : Imperial College Press, [2014]
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Asymptotic perturbation theory of waves /  |c Lev Ostrovsky, NOAA ETL, USA. 
264 1 |a Hackensack, NJ :  |b Imperial College Press,  |c [2014] 
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505 0 |a 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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520 |a 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. 
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650 0 |a Perturbation (Mathematics) 
650 0 |a Nonlinear wave equations. 
650 0 |a Differential equations  |x Asymptotic theory. 
650 6 |a Théorie du mouvement ondulatoire. 
650 6 |a Perturbation (Mathématiques) 
650 6 |a Équations d'onde non linéaires. 
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