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Resonant Solutions of the Periodically Forced KdV Equation: Second Edition - Couverture souple

Blenkinsop, Mark

 
9783838398730: Resonant Solutions of the Periodically Forced KdV Equation: Second Edition
Couverture souple
ISBN 10 : 3838398734 ISBN 13 : 9783838398730
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

The periodically forced KdV equation can be used to model various physical wave phenomena. In the context of this research, the fKdV equation describes waves in a shallow tank of water. This work serves to extend previously published research from a basic case, to the general case, gaining an overall understanding of the matter. The publication consists of two primary parts. First, using boundary layer theory, and applying single scale perturbation, solutions are determined which take the functional form of either a squared hyperbolic secant, or a squared Jacobi-elliptic function, which then overlay a slow-varying wave. Second, the equation is numerically varied to yield a family of solutions which show the behaviour of the fKdV equation across resonant frequency. This research serves to better the understanding of the fKdV equation as it can be observed in a natural environment. It also gives rise to aspects worthy of further investigation.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The periodically forced KdV equation can be used to model various physical wave phenomena. In the context of this research, the fKdV equation describes waves in a shallow tank of water. This work serves to extend previously published research from a basic case, to the general case, gaining an overall understanding of the matter. The publication consists of two primary parts. First, using boundary layer theory, and applying single scale perturbation, solutions are determined which take the functional form of either a squared hyperbolic secant, or a squared Jacobi-elliptic function, which then overlay a slow-varying wave. Second, the equation is numerically varied to yield a family of solutions which show the behaviour of the fKdV equation across resonant frequency. This research serves to better the understanding of the fKdV equation as it can be observed in a natural environment. It also gives rise to aspects worthy of further investigation.

Biographie de l'auteur

has been an academician, an athlete, a linguist, and musician for most of his life. His mathematical interests began in highschool, and carried right on through university. Today he teaches calculus and linear algebra at Carleton University, while carrying on his research in quasi-linear partial differential equations.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838398734
ISBN 13 
9783838398730
Reliure
Broché
Nombre de pages
72
Coordonnées du fabricant
non disponible
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