Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Soliton Turbulence in Approximate and Exact Models for Deep Water Waves. / Kachulin, Dmitry; Dyachenko, Alexander; Zakharov, Vladimir.
в: Fluids, Том 5, № 2, 67, 06.2020.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Soliton Turbulence in Approximate and Exact Models for Deep Water Waves
AU - Kachulin, Dmitry
AU - Dyachenko, Alexander
AU - Zakharov, Vladimir
N1 - Publisher Copyright: © 2020 MDPI AG. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
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