Articles | Volume 22, issue 3
Nonlin. Processes Geophys., 22, 313–324, 2015
https://doi.org/10.5194/npg-22-313-2015
Nonlin. Processes Geophys., 22, 313–324, 2015
https://doi.org/10.5194/npg-22-313-2015

Research article 21 May 2015

Research article | 21 May 2015

An analytical model of the evolution of a Stokes wave and its two Benjamin–Feir sidebands on nonuniform unidirectional current

I. V. Shugan et al.

Viewed

Total article views: 1,839 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
1,011 687 141 1,839 145 158
  • HTML: 1,011
  • PDF: 687
  • XML: 141
  • Total: 1,839
  • BibTeX: 145
  • EndNote: 158
Views and downloads (calculated since 05 Dec 2014)
Cumulative views and downloads (calculated since 05 Dec 2014)

Cited

Saved (final revised paper)

Latest update: 25 Oct 2021
Download
Short summary
An analytical weakly nonlinear model of Benjamin–Feir instability of a Stokes wave on nonuniform unidirectional current is presented. In contrast to the models based on versions of the cubic Schrodinger equation the current variations could be strong, which allows us to examine the blockage of waves. Waves may overpass the blocking barrier produced by strong adverse current. We find reasonable correspondence between the results of model simulations and available experimental results.