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

Shugan, I. V.; Hwung, H. H.; Yang, R. Y.

doi:https://doi.org/10.5194/npg-22-313-2015

Articles | Volume 22, issue 3

https://doi.org/10.5194/npg-22-313-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/npg-22-313-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 22, issue 3

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, H. H. Hwung, and R. Y. Yang

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Final revised paper (published on 21 May 2015)
Preprint (discussion started on 05 Dec 2014)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC C755: 'review', Anonymous Referee #1, 01 Jan 2015
- AC C880: 'answer to first reviewer', Igor Shugan, 30 Jan 2015
RC C758: 'See the report in attachment', Anonymous Referee #2, 06 Jan 2015
- AC C898: 'answer to second reviewer', Igor Shugan, 09 Feb 2015
RC C851: '..', Anonymous Referee #3, 16 Jan 2015
- AC C909: 'answer to third reviewer', Igor Shugan, 10 Feb 2015
RC C864: 'see attachment', Anonymous Referee #4, 27 Jan 2015
- AC C910: 'Answer to fourth reviewer', Igor Shugan, 11 Feb 2015
EC C896: 'Editorial decision', Victor Shrira, 06 Feb 2015

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

AR by Igor Shugan on behalf of the Authors (05 May 2015)

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.