Verification of a parabolic equation for propagation of weakly-nonlinear waves

James T. Kirby*, Robert A. Dalrymple

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

66 Scopus citations


Verification tests of linear wave propagation models for cases of waves propagating through a refractive focus typically overpredict peak amplitudes in the vicinity of the focus. Using a parabolic equation model for the combined refraction-diffraction of weakly-nonlinear waves [valid for Ursell number Ur < O(1)], we show that, in a particular experiment, much of the discrepancy between laboratory measurements and linear wave model predictions can be accounted for by including the effect of nonlinearity, which is important in the region of the focus.

Original languageEnglish (US)
Pages (from-to)219-232
Number of pages14
JournalCoastal Engineering
Issue number3
StatePublished - Aug 1984

ASJC Scopus subject areas

  • Environmental Engineering
  • Ocean Engineering


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