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Persistence of hydrodynamic envelope solitons: Detection and rogue wave occurrence
Physics of Fluids. 2021. Vol. 33. Article 036606.
The observation of a wave group persisting for more than 200 periods in the direct numerical simulation of nonlinear unidirectional irregular water waves in deep water is discussed. The simulation conditions are characterized by parameters realistic for broad-banded waves in the sea. Through solution of the associated scattering problem for the nonlinear Schr€odinger equation, the group is identified as the intense envelope soliton with remarkably stable parameters. Most of the extreme waves occur on top of this group, resulting in higher and longer rogue wave events.
Chabchoub A., Slunyaev A., Hoffmann N. et al., Frontiers in Physics 2021 Vol. 9 Article 633549
Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to amplify a single localized perturbation of a carrier wave of finite amplitude by a factor of three, there is a counterpart solution on zero background known as the degenerate ...
Added: August 25, 2021
Slunyaev A., Известия высших учебных заведений. Радиофизика 2018 Т. 61 № 1 С. 1-23
We propose a method for the analysis of groups of unidirectional waves on the surface of deep water, which is based on spectral data of the scattering problem in the approximation of a nonlinear Schrodinger equation. The main attention is paid to the robustness and accuracy of the numerically obtained spectral data. Various methods of choosing the wave ...
Added: March 1, 2019
Slunyaev A., Кокорина А. В., Известия РАН. Физика атмосферы и океана 2020 Т. 56 № 2 С. 210-223
Выполнено прямое численное моделирование гравитационных волн ветрового диапазона на двумерной поверхности моря в рамках исходных потенциальных уравнений гидродинамики. Обсуждаются результаты обработки полученных данных для условий глубокого моря, спектра JONSWAP и
разных интенсивностей волнения, ширин углового спектра и пиковатости. Статистические и спектральные характеристики волн эволюционируют в течение длительного времени. Показана специфическая асимметрия характерных профилей аномально высоких волн. ...
Added: June 5, 2020
Slunyaev A., Вестник Московского университета. Серия 3: Физика и астрономия 2017 Т. 3 С. 33-47
Observational data regarding anomalously high waves on the sea’s surface (freak or rogue waves) are reviewed. The objectives of the research are identified, and the difficulties encountered are noted. The main physical mechanisms employed in explaining rogue waves are listed, and possible approaches to predicting marine hazards are discussed. Principles for ongoing short-term forecasting of extreme waves (within tens ...
Added: March 1, 2019
Ducrozet G., Slunyaev A., Stepanyants Y., Physics of Fluids 2021 Vol. 33 P. 1-14
In this paper, we study the transformation of surface envelope solitons traveling over a bottom step in water of a finite depth. Using the transformation coefficients earlier derived in the linear approximation, we find the parameters of transmitted pulses and subsequent evolution of the pulses in the course of propagation. Relying on the weakly nonlinear theory, the ...
Added: June 28, 2021
A. V. Slunyaev, Shrira V. I., Physics of Fluids 2023 Vol. 35 No. 12 Article 126606
Rogue waves are known to be much more common on jet currents. A possible explanation was put forward in Shrira and Slunyaev
[“Nonlinear dynamics of trapped waves on jet currents and rogue waves,” Phys. Rev. E 89, 041002(R) (2014)] for the waves trapped on
current robust long-lived envelope solitary waves localized in both horizontal directions become possible, ...
Added: December 20, 2023
Didenkulova E., Slunyaev A., Pelinovsky E., European Journal of Mechanics - B/Fluids 2019 Vol. 78 P. 21-31
Direct numerical simulations of irregular unidirectional nonlinear wave evolution are performed within the framework of the Korteweg–de Vries equation for bimodal wave spectra model cases. The additional wave system co-existence effect on the evolution of the wave statistical characteristics and spectral shapes, and also on the attained equilibrium state is studied. The concerned problem describes, for example, the interaction ...
Added: June 15, 2019
Slunyaev A., , in : Proceedings of the International Conference DAYS on DIFFRACTION 2018. : IEEE, 2018. P. 277-282.
We develop a method for the application of the Inverse Scattering Technique to the analysis of surface
water waves and present here some evidence on its efficiency. The general idea is to interpret nonlinear
wave groups in terms of soliton-type structures - envelope solitons in the framework of the integrable
nonlinear Schrodinger equation. Such analysis can improve understanding of the nonlinear ...
Added: March 1, 2019
Slunyaev A., Кокорина А. В., Journal of Ocean Engineering and Marine Energy 2017 Vol. 3 P. 395-408
The results of the probabilistic analysis of the direct numerical simulations of irregular unidirectional deep
water waves are discussed. It is shown that an occurrence of large-amplitude soliton-like groups represents an extraordinary case, which is able to increase noticeably the probability of high waves even in moderately rough sea conditions. The ensemble of wave realizations should be large enough to take these ...
Added: March 1, 2019
Gromov E.M., Malomed B. A., Physica Scripta 2015 Vol. 90 No. 6 P. 068021-1-068021-6
Dynamics of Langmuir solitons is considered in plasmas with spatially inhomogeneous electron temperature. An underlying Zakharov-type system of two unidirectional equations for the Langmuir and ion-sound fields is reduced to an inhomogeneous nonlinear Schrödinger equation (NLSE) with spatial variation of the second-order dispersion (SOD) and self-phase modulation (SPM) coefficients, induced by the spatially inhomogeneous profile ...
Added: April 25, 2015
Didenkulova I., Pelinovsky E., Journal of Physics A: Mathematical and Theoretical 2016 Vol. 49 No. 19 P. 194001
Rogue wave formation in shallow water is often governed by dispersive focusing and wave-bottom interaction. In this study we try to combine these mechanisms by considering dispersive nonreflecting wave propagation in shallow strongly inhomogeneous channels. Nonreflecting wave propagation provides extreme wave amplification and the transfer of wave energy over large distances, while dispersive effects allow ...
Added: June 8, 2016
Aseeva N., Blyakhman L. G., Logvinova K. V. et al., Труды НГТУ им. Р.Е. Алексеева 2013 № 3(100) С. 37-46
Цель работы: Рассмотрена динамика солитонов в рамках расширенного нелинейного уравнения Шредингера. Учтено как индуцированное рассеяние высокочастотных волн на затухающих низкочастотных волнах, так и неоднородность линейной дисперсии второго порядка.
Научный подход: Исследование проведено как численно, так и аналитически.
Результат: Показано, что смещение пространственного спектра солитона в длинноволновую область, обусловленного индуцированным рассеянием, компенсируется убывающей дисперсией, смещающей спектр солитона в ...
Added: September 24, 2013
He Y., Slunyaev A., Mori N. et al., Physical Review Letters 2022 Vol. 129 No. 14 Article 144502
Nonlinear wave focusing originating from the universal modulation instability (MI) is responsible for the formation of strong wave localizations on the water surface and in nonlinear wave guides, such as optical Kerr media and plasma. Such extreme wave dynamics can be described by breather solutions of the nonlinear Schrödinger equation (NLSE) like by way of example the famed ...
Added: October 13, 2022
Красовский В. Л., Киселев А. А., Dolgonosov M., Физика плазмы 2017 Т. 43 № 1 С. 37-44
A steady plasma state reached in the course of charging of an absorbing spherical body is found using computational methods. Numerical simulations provide complete information on this process, thereby allowing one to find the spatiotemporal dependences of the physical quantities and observe the kinetic phenomena accompanying the formation of stable electron and ion distributions in ...
Added: January 22, 2018
Blyakhman L. G., Morozov V. P., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2016 № 3 (114) С. 9-15
Цель работы: Исследована динамика двухкомпонентных (векторных) солитонов Давыдова-Скотта(ДС) при пространственно-скоростном рассогласовании высокочастотных (ВЧ) и низкочастотных (НЧ) компонент. Рассмотрение проведено в рамках Захаровского типа системы двух связанных уравнений для ВЧ и НЧ поля. В этой системе ВЧ поле описывается линейным уравнением Шредингера с переменным во времени и пространстве потенциалом, вызванным НЧ компонентой. НЧ компонента в этой ...
Added: October 5, 2016
Зеленый Л. М., Popel S., Захаров А. В., Физика плазмы 2020 Т. 46 № 5 С. 441-455
A brief review is given of the dusty plasma near the surface of the Moon. Electrostatic processes represent an important factor of formation of such plasma. Problems related to theoretical and numerical modeling of the plasma-dust system near the Moon, its experimental investigation, and interpretation of data on near-lunar dusty plasma are formulated. ...
Added: May 19, 2020
Kokorina A., Slunyaev A., Fluids, Switzerland 2019 Vol. 4 P. 70-1-70-16
The issue of rogue wave lifetimes is addressed in this study, which helps to detail the general picture of this dangerous oceanic phenomenon. The direct numerical simulations of irregular wave ensembles are performed to obtain the complete accurate data on the rogue wave occurrence and evolution. Purely collinear wave systems, moderately crested, and short-crested sea states have been simulated ...
Added: April 17, 2019
Semyonov V., Timofeev A., Математическое моделирование 2018 Т. 30 № 2 С. 3-17
Model allowing analytical and numerical studying of dusty plasma system is used to describe dynamics of monolayer of dusty particles. Mechanism of energy transfer between horizontal and vertical particles motion based on parametric resonance is described by an extended Mathieu equation. Resonance regions and growth rates of dust particles energy are obtained. Conditions of resonance ...
Added: May 24, 2018
Семин С. В., Kurkina O. E., Kurkin A. A. et al., Труды НГТУ им. Р.Е. Алексеева 2012 № 2(95) С. 48-65
Purpose: Numerical modeling of internal baroclinic disturbances of different shapes in a model lake with variable depth, analysis of velocity field of wave-induced current, especially in the near-bed layer.
Approach: The study is carried out with the use of numerical full nonlinear nonhydrostatic model for stratified fluid.
Findings: The full nonlinear numerical modeling of internal wave dynamics ...
Added: October 6, 2012
Gromov E.M., Malomed B. A., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2015 Vol. 92 No. 6 P. 062926-1-062926-7
Dynamics of solitons is considered in the framework of an extended nonlinear Schrödinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped low-frequency (LF) internal waves. The drive gives rise to a convective (but not absolute) instability in the system. The resulting NLSE ...
Added: December 5, 2015
Chabchoub A., Hoffmann N., Onorato M. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2012 Vol. 86 No. 5 P. 156601-1-156601-6
We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrodinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the ...
Added: January 18, 2013
Slunyaev A., Pelinovsky E., Sergeeva A. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2013 Vol. 88 No. 1 P. 012909-012909
The rogue wave solutions (rational multibreathers) of the nonlinear Schr¨odinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation, also known as the ...
Added: November 13, 2013
Didenkulova I., Nikolkina I., Pelinovsky E., JETP Letters 2013 Vol. 97 No. 4 P. 221-225
Properties of rogue waves in the basin of intermediate depth are discussed in comparison with known properties of rogue waves in deep waters. Based on observations of rogue waves in the ocean of intermediate depth we demonstrate that the modulational instability can still play a significant role in their formation for basins of 20m and ...
Added: February 26, 2013
Didenkulova E., Pelinovsky E., Touboul ., Wave Motion 2021 Vol. 100 Article 102668
The role of various long-wave approximations in the description of the wave field and bottom pressure caused by surface waves, and their relation to evolution equations are being considered. In the framework of the linear theory, these approximations are being tested on the well-known exact solution for the wave spectral amplitudes and pressure variations. The ...
Added: January 26, 2021