Resonant Solutions of the Periodically Forced KdV Equation

Language: English

Published by LAP LAMBERT Academic Publishing Aug 2010, 2010

3838398734 / 9783838398730

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This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch.

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Title
Resonant Solutions of the Periodically Forced KdV Equation
Author
Mark Blenkinsop
Publisher
LAP LAMBERT Academic Publishing Aug 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3838398734
ISBN 13
9783838398730
Item weight
125 grams
Dimensions
220x150x5 mm

buchversandmimpf2000

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