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.

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Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Igor Shugan on behalf of the Authors (13 Feb 2015)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (15 Feb 2015) by Victor Shrira
RR by Anonymous Referee #4 (01 Mar 2015)
RR by Anonymous Referee #2 (04 Mar 2015)
ED: Reconsider after major revisions (further review by Editor and Referees) (06 Mar 2015) by Victor Shrira
AR by Igor Shugan on behalf of the Authors (26 Mar 2015)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (27 Mar 2015) by Victor Shrira
RR by Anonymous Referee #2 (08 Apr 2015)
ED: Reconsider after major revisions (further review by Editor and Referees) (27 Mar 2015) by Victor Shrira
ED: Publish subject to minor revisions (further review by Editor) (19 Apr 2015) by Victor Shrira
AR by Igor Shugan on behalf of the Authors (21 Apr 2015)  Author's response    Manuscript
ED: Publish as is (29 Apr 2015) by Victor Shrira
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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.