Shelves and the Korteweg-de Vries equation

C. J. Knickerbocker; Alan C. Newell

doi:10.1017/S0022112080000407

Shelves and the Korteweg-de Vries equation

C. J. Knickerbocker, Alan C. Newell

Research output: Contribution to journal › Article › peer-review

94 Scopus citations

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.

Original language	English (US)
Pages (from-to)	803-818
Number of pages	16
Journal	Journal of Fluid Mechanics
Volume	98
Issue number	4
DOIs	https://doi.org/10.1017/S0022112080000407
State	Published - Jun 1980
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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Shelves and the Korteweg-de Vries equation

Abstract

ASJC Scopus subject areas

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