Soliton Turbulence in Approximate and Exact Models for Deep Water Waves

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Soliton Turbulence in Approximate and Exact Models for Deep Water Waves. / Kachulin, Dmitry; Dyachenko, Alexander; Zakharov, Vladimir.

In: Fluids, Vol. 5, No. 2, 67, 06.2020.

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

BibTeX

@article{f38ac6dfad884287966d296ec86df043,

title = "Soliton Turbulence in Approximate and Exact Models for Deep Water Waves",

abstract = "We investigate and compare soliton turbulence appearing as a result of modulational instability of the homogeneous wave train in three nonlinear models for surface gravity waves: the nonlinear Schr{\"o}dinger equation, the super compact Zakharov equation, and the fully nonlinear equations written in conformal variables. We show that even at a low level of energy and average wave steepness, the wave dynamics in the nonlinear Schr{\"o}dinger equation fundamentally differ from the dynamics in more accurate models. We study energy losses of wind waves due to their breaking for large values of total energy in the super compact Zakharov equation and in the exact equations and show that in both models, the wave system loses 50% of energy very slowly, during few days.",

keywords = "Dyachenko equations, freak waves, nonlinear Schr{\"o}dinger equation, nonlinear waves, super compact Zakharov equation, surface gravity waves, wave breaking, COMPACT EQUATION, IDEAL FLUID, nonlinear Schrodinger equation, DYNAMICS, FINITE-GAP METHOD",

author = "Dmitry Kachulin and Alexander Dyachenko and Vladimir Zakharov",

year = "2020",

month = jun,

doi = "10.3390/fluids5020067",

language = "English",

volume = "5",

journal = "Experiments in Fluids",

issn = "0723-4864",

publisher = "Springer-Verlag GmbH and Co. KG",

number = "2",

}

RIS

TY - JOUR

T1 - Soliton Turbulence in Approximate and Exact Models for Deep Water Waves

AU - Kachulin, Dmitry

AU - Dyachenko, Alexander

AU - Zakharov, Vladimir

PY - 2020/6

Y1 - 2020/6

N2 - We investigate and compare soliton turbulence appearing as a result of modulational instability of the homogeneous wave train in three nonlinear models for surface gravity waves: the nonlinear Schrödinger equation, the super compact Zakharov equation, and the fully nonlinear equations written in conformal variables. We show that even at a low level of energy and average wave steepness, the wave dynamics in the nonlinear Schrödinger equation fundamentally differ from the dynamics in more accurate models. We study energy losses of wind waves due to their breaking for large values of total energy in the super compact Zakharov equation and in the exact equations and show that in both models, the wave system loses 50% of energy very slowly, during few days.

AB - We investigate and compare soliton turbulence appearing as a result of modulational instability of the homogeneous wave train in three nonlinear models for surface gravity waves: the nonlinear Schrödinger equation, the super compact Zakharov equation, and the fully nonlinear equations written in conformal variables. We show that even at a low level of energy and average wave steepness, the wave dynamics in the nonlinear Schrödinger equation fundamentally differ from the dynamics in more accurate models. We study energy losses of wind waves due to their breaking for large values of total energy in the super compact Zakharov equation and in the exact equations and show that in both models, the wave system loses 50% of energy very slowly, during few days.

KW - Dyachenko equations

KW - freak waves

KW - nonlinear Schrödinger equation

KW - nonlinear waves

KW - super compact Zakharov equation

KW - surface gravity waves

KW - wave breaking

KW - COMPACT EQUATION

KW - IDEAL FLUID

KW - nonlinear Schrodinger equation

KW - DYNAMICS

KW - FINITE-GAP METHOD

UR - http://www.scopus.com/inward/record.url?scp=85086002936&partnerID=8YFLogxK

U2 - 10.3390/fluids5020067

DO - 10.3390/fluids5020067

M3 - Article

AN - SCOPUS:85086002936

VL - 5

JO - Experiments in Fluids

JF - Experiments in Fluids

SN - 0723-4864

IS - 2

M1 - 67

ER -

ID: 24514976