About compact equations for water waves

A. I. Dyachenko; D. I. Kachulin; V. E. Zakharov

doi:10.1007/s11069-016-2478-7

About compact equations for water waves

A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov

Mathematics

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

6 Scopus citations

Abstract

A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking.

Original language	English (US)
Pages (from-to)	529-540
Number of pages	12
Journal	Natural Hazards
Volume	84
DOIs	https://doi.org/10.1007/s11069-016-2478-7
State	Published - Nov 1 2016

Keywords

Breather
Freak waves
Hamiltonian formalism
Modulational instability
Nonlinear water waves

ASJC Scopus subject areas

Water Science and Technology
Atmospheric Science
Earth and Planetary Sciences (miscellaneous)

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10.1007/s11069-016-2478-7

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title = "About compact equations for water waves",

abstract = "A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking.",

keywords = "Breather, Freak waves, Hamiltonian formalism, Modulational instability, Nonlinear water waves",

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

note = "Funding Information: This work was supported by Grant “Wave turbulence: theory, numerical simulation, experiment” #14-22-00174 of Russian Science Foundation. Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht.",

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doi = "10.1007/s11069-016-2478-7",

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T1 - About compact equations for water waves

AU - Dyachenko, A. I.

AU - Kachulin, D. I.

AU - Zakharov, V. E.

N1 - Funding Information: This work was supported by Grant “Wave turbulence: theory, numerical simulation, experiment” #14-22-00174 of Russian Science Foundation. Publisher Copyright: © 2016, Springer Science+Business Media Dordrecht.

PY - 2016/11/1

Y1 - 2016/11/1

N2 - A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking.

AB - A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking.

KW - Breather

KW - Freak waves

KW - Hamiltonian formalism

KW - Modulational instability

KW - Nonlinear water waves

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JO - Natural Hazards

JF - Natural Hazards

ER -

About compact equations for water waves

Abstract

Keywords

ASJC Scopus subject areas

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