Shelves and the Korteweg-de Vries equation

C. J. Knickerbocker, Alan C. Newell

Research output: Contribution to journalArticlepeer-review

87 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 languageEnglish (US)
Pages (from-to)803-818
Number of pages16
JournalJournal of Fluid Mechanics
Volume98
Issue number4
DOIs
StatePublished - Jun 1980
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Shelves and the Korteweg-de Vries equation'. Together they form a unique fingerprint.

Cite this