SHELVES AND THE KORTEWEG-DE VRIES EQUATION.

C. J. Knickerbocker, Alan C Newell

Research output: Contribution to journalArticle

86 Citations (Scopus)

Abstract

An extension of the analytical results of D. J. Kaup & A. C. Newell 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. Refs.

Original languageEnglish (US)
Pages (from-to)803-818
Number of pages16
JournalJournal of Fluid Mechanics
Volume98
Issue numberpt 4
StatePublished - Jan 1 1980
Externally publishedYes

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Korteweg-de Vries equation
Solitons
shelves
solitary waves
perturbation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

SHELVES AND THE KORTEWEG-DE VRIES EQUATION. / Knickerbocker, C. J.; Newell, Alan C.

In: Journal of Fluid Mechanics, Vol. 98, No. pt 4, 01.01.1980, p. 803-818.

Research output: Contribution to journalArticle

Knickerbocker, CJ & Newell, AC 1980, 'SHELVES AND THE KORTEWEG-DE VRIES EQUATION.', Journal of Fluid Mechanics, vol. 98, no. pt 4, pp. 803-818.
Knickerbocker, C. J. ; Newell, Alan C. / SHELVES AND THE KORTEWEG-DE VRIES EQUATION. In: Journal of Fluid Mechanics. 1980 ; Vol. 98, No. pt 4. pp. 803-818.
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