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Shelves and the Korteweg-de Vries equation

Published online by Cambridge University Press:  19 April 2006

C. J. Knickerbocker  and
Alan C. Newell
C. J. Knickerbocker
Affiliation:
Department of Mathematics and Computer Science, Clarkson College, Potsdam, NY 13676
Alan C. Newell
Affiliation:
Department of Mathematics and Computer Science, Clarkson College, Potsdam, NY 13676
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Abstract

An extension of the analytical results of Kaup & Newell (1978) concerning the effect of a perturbation on a solitary wave of the Korteweg–de Vries equation is given and numerical studies are conducted to verify the conclusions. In all cases, the numerical results agree with the results predicted by the theory. The most striking feature of the perturbed flow is the presence of a shelf in the lee of the solitary wave whose role is to absorb (provide) the extra mass which is created (depleted) by the perturbation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 98 , Issue 4 , 26 June 1980 , pp. 803 - 818
Copyright
© 1980 Cambridge University Press

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