Modulation instability of stokes wave → freak wave

A. I. Dyachenko; V. E. Zakharov

doi:10.1134/1.1931010

Modulation instability of stokes wave → freak wave

A. I. Dyachenko, V. E. Zakharov

Mathematics

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

141 Scopus citations

Abstract

Formation of waves of large amplitude (freak waves, killer waves) at the surface of the ocean is studied numerically. We have observed that freak waves have the same ratio of the wave height to the wave length as limiting Stokes waves. When a freak wave reaches this limiting state, it breaks. The physical mechanism of freak wave formation is discussed.

Original language	English (US)
Pages (from-to)	255-259
Number of pages	5
Journal	JETP Letters
Volume	81
Issue number	6
DOIs	https://doi.org/10.1134/1.1931010
State	Published - 2005

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1134/1.1931010

Cite this

@article{e473320a4d424f658d30d3654c2a51bd,

title = "Modulation instability of stokes wave → freak wave",

abstract = "Formation of waves of large amplitude (freak waves, killer waves) at the surface of the ocean is studied numerically. We have observed that freak waves have the same ratio of the wave height to the wave length as limiting Stokes waves. When a freak wave reaches this limiting state, it breaks. The physical mechanism of freak wave formation is discussed.",

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

note = "Funding Information: We thank E.A. Kuznetsov for helpful discussions. This work was supported by the Russian Foundation for Basic Research (project no. 03-01-00289), the Program “Mathematical Problems in Nonlinear Dynamics” of the RAS Presidium, by the grant for Leading Scientific Schools of Russia, by the United States Army (grant DACA, no. 42-00-C-0044), and by the NSF (under DMS grant no. 0072803).",

year = "2005",

doi = "10.1134/1.1931010",

language = "English (US)",

volume = "81",

pages = "255--259",

journal = "JETP Letters",

issn = "0021-3640",

publisher = "Pleiades Publishing",

number = "6",

}

TY - JOUR

T1 - Modulation instability of stokes wave → freak wave

AU - Dyachenko, A. I.

AU - Zakharov, V. E.

N1 - Funding Information: We thank E.A. Kuznetsov for helpful discussions. This work was supported by the Russian Foundation for Basic Research (project no. 03-01-00289), the Program “Mathematical Problems in Nonlinear Dynamics” of the RAS Presidium, by the grant for Leading Scientific Schools of Russia, by the United States Army (grant DACA, no. 42-00-C-0044), and by the NSF (under DMS grant no. 0072803).

PY - 2005

Y1 - 2005

N2 - Formation of waves of large amplitude (freak waves, killer waves) at the surface of the ocean is studied numerically. We have observed that freak waves have the same ratio of the wave height to the wave length as limiting Stokes waves. When a freak wave reaches this limiting state, it breaks. The physical mechanism of freak wave formation is discussed.

AB - Formation of waves of large amplitude (freak waves, killer waves) at the surface of the ocean is studied numerically. We have observed that freak waves have the same ratio of the wave height to the wave length as limiting Stokes waves. When a freak wave reaches this limiting state, it breaks. The physical mechanism of freak wave formation is discussed.

UR - http://www.scopus.com/inward/record.url?scp=20844438668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20844438668&partnerID=8YFLogxK

U2 - 10.1134/1.1931010

DO - 10.1134/1.1931010

M3 - Article

AN - SCOPUS:20844438668

SN - 0021-3640

VL - 81

SP - 255

EP - 259

JO - JETP Letters

JF - JETP Letters

IS - 6

ER -

Modulation instability of stokes wave → freak wave

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this