On the phase dependence of the soliton collisions in the Dyachenko–Zakharov envelope equation

Kachulin, Dmitry; Gelash, Andrey

doi:https://doi.org/10.5194/npg-25-553-2018

Articles | Volume 25, issue 3

https://doi.org/10.5194/npg-25-553-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/npg-25-553-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 25, issue 3

Research article

|

15 Aug 2018

Research article |

| 15 Aug 2018

On the phase dependence of the soliton collisions in the Dyachenko–Zakharov envelope equation

Dmitry Kachulin and Andrey Gelash

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Final revised paper (published on 15 Aug 2018)
Preprint (discussion started on 05 Mar 2018)

Interactive discussion

Status: closed

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

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- Supplement

RC1: 'Review npg-2018-14 Phase-dependent dynamics of breather collisions in the compact Zakharov equation for envelope', Anonymous Referee #1, 05 Mar 2018
- AC1: 'Response to the comment of the Referee 1', Dmitriy Kachulin, 30 Mar 2018
  - AC2: 'Corrected version of the manuscript', Dmitriy Kachulin, 30 Mar 2018
    - RC3: 'Reply to Authors (cont.)', Anonymous Referee #1, 30 Mar 2018
RC2: 'Reply to Authors', Anonymous Referee #1, 30 Mar 2018
RC4: 'see the attached report', Anonymous Referee #2, 01 Apr 2018
- AC3: 'Response to the comment of the Referee 2', Dmitriy Kachulin, 30 Apr 2018

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Dmitry Kachulin on behalf of the Authors (03 Jul 2018) Author's response Manuscript

ED: Referee Nomination & Report Request started (03 Jul 2018) by Roger Grimshaw

RR by Anonymous Referee #2 (20 Jul 2018)

RR by Anonymous Referee #3 (23 Jul 2018)

ED: Publish subject to technical corrections (23 Jul 2018) by Roger Grimshaw

AR by Dmitry Kachulin on behalf of the Authors (30 Jul 2018) Author's response Manuscript

Short summary

We consider the nonlinear model well known in geophysics for deep water surface gravity waves – the envelope version of the Dyachenko–Zakharov equation. This model predicts that waves can propagate as a stable localized groups – solitons. We study numerically in detail the soliton collisions and find fundamentally different effects when compared to the previously known results. We demonstrate the formation of extreme amplitude waves that may cause serious damage appearing in seas and oceans.