Skip to main content
×
Home

Nonlinear effects in edge waves

  • G. B. Whitham (a1)
Abstract

Nonlinear corrections to Stokes's linear edge-wave solution are obtained by means of perturbation expansions in the amplitude. The shallow-water formulation is considered first, but even for small beach angles β the behaviour in the deep water offshore becomes important and this formulation is limited. In the full formulation, amplitude dependence is required in the dispersion relation and in the exponents for the exponential decay away from the shore. There is a non-uniformity in the results as β → ½π, which is corrected by a special perturbation expansion.

Copyright
References
Hide All
Guza, R. T. & Davis, R. E.1974 J. Geophys. Res. 79, 1285810.
Hanson, E. T.1926 Proc. Roy. Soc A 111, 491529.
Munk, W., Snodgrass, F. & Carrier, G. F.1956 Science, 123, 127810.
Ostrowskii, L. A.1967 Sov. Phys., J. Exp. Theor. Phys. 24, 797810.
Ostrowskii, L. A.1968 U.R.S.I. Symp. on Electromagnetic Waves VI, Stresa, Italy.
Stoker, J. J.1957 Water Waves.Interscience.
Stokes, G. G.1846 Report on recent researches in hydrodynamics. Brit. Ass. Rep. (See also Papers, vol. 1, p. 167. Cambridge University Press.)
Ursell, F.1952 Proc. Roy. Soc A 214, 7997.
Whitham, G. B.1974 Linear and Nonlinear Waves.Interscience.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 17 *
Loading metrics...

Abstract views

Total abstract views: 96 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 23rd November 2017. This data will be updated every 24 hours.