On the formation of freak waves on the surface of deep water

A. I. Dyachenko; V. E. Zakharov

doi:10.1134/S0021364008170049

On the formation of freak waves on the surface of deep water

A. I. Dyachenko
, V. E. Zakharov

Mathematics

Research output: Contribution to journal › Article › peer-review

78 Scopus citations

Abstract

Numerical simulation of the fully nonlinear water equations demonstrates the existence of giant breathers on the surface of deep water. The numerical analysis shows that this breather (or soliton of envelope) does not loose energy. The existence of such a breather can explain the appearance of freak waves.

Original language	English (US)
Pages (from-to)	307-311
Number of pages	5
Journal	JETP Letters
Volume	88
Issue number	5
DOIs	https://doi.org/10.1134/S0021364008170049
State	Published - Nov 2008

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1134/S0021364008170049

Cite this

@article{b93ebc02bc2248bc850cd1a5b2e5245c,

title = "On the formation of freak waves on the surface of deep water",

abstract = "Numerical simulation of the fully nonlinear water equations demonstrates the existence of giant breathers on the surface of deep water. The numerical analysis shows that this breather (or soliton of envelope) does not loose energy. The existence of such a breather can explain the appearance of freak waves.",

author = "Dyachenko, \{A. I.\} and Zakharov, \{V. E.\}",

note = "Funding Information: This work was supported by the US Army Corps of Engineers (grant no. W912BU-07-P-0231), ONR (grant no. N00014-06-C-0130), the National Science Foundation (grant DMS no. 0404577), the Russian Foundation for Basic Research (project nos. 06-01-00665 and 07-01-92165-CNRS), the Presidium of the Russian Academy of Sciences (program “Fundamental Problems in Nonlinear Dynamics”), and the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools.",

year = "2008",

month = nov,

doi = "10.1134/S0021364008170049",

language = "English (US)",

volume = "88",

pages = "307--311",

journal = "JETP Letters",

issn = "0021-3640",

publisher = "Pleiades Publishing",

number = "5",

}

TY - JOUR

T1 - On the formation of freak waves on the surface of deep water

AU - Dyachenko, A. I.

AU - Zakharov, V. E.

N1 - Funding Information: This work was supported by the US Army Corps of Engineers (grant no. W912BU-07-P-0231), ONR (grant no. N00014-06-C-0130), the National Science Foundation (grant DMS no. 0404577), the Russian Foundation for Basic Research (project nos. 06-01-00665 and 07-01-92165-CNRS), the Presidium of the Russian Academy of Sciences (program “Fundamental Problems in Nonlinear Dynamics”), and the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools.

PY - 2008/11

Y1 - 2008/11

N2 - Numerical simulation of the fully nonlinear water equations demonstrates the existence of giant breathers on the surface of deep water. The numerical analysis shows that this breather (or soliton of envelope) does not loose energy. The existence of such a breather can explain the appearance of freak waves.

AB - Numerical simulation of the fully nonlinear water equations demonstrates the existence of giant breathers on the surface of deep water. The numerical analysis shows that this breather (or soliton of envelope) does not loose energy. The existence of such a breather can explain the appearance of freak waves.

UR - https://www.scopus.com/pages/publications/59749083531

UR - https://www.scopus.com/pages/publications/59749083531#tab=citedBy

U2 - 10.1134/S0021364008170049

DO - 10.1134/S0021364008170049

M3 - Article

AN - SCOPUS:59749083531

SN - 0021-3640

VL - 88

SP - 307

EP - 311

JO - JETP Letters

JF - JETP Letters

IS - 5

ER -

On the formation of freak waves on the surface of deep water

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this