Mixed turbulence of breathers and narrowband irregular waves: mKdV framework

Didenkulova, Ekaterina

doi:10.1016/j.physd.2021.133130

Cited by 11 publications

(11 citation statements)

References 47 publications

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“…Additionally, a similar research was performed to the dynamics of breather (periodic pulsating wave packet) gas, which also shows that breather interactions may produce the RWs on the surface of deep water [32,33].…”

Section: Introductionmentioning

confidence: 94%

“…That is, the interaction of solitons with opposite polarities affects the wave field more significantly than those with the same polarity, which was already confirmed by numerical simulation of the multi-soliton field in Refs. [28,30].…”

Section: Statistical Momentsmentioning

confidence: 99%

“…The results significantly depend on the soliton polarities in a SG, and the extreme wave amplification is possible with an amount of bipolar solitons in the mKdV and Gardner equations [24,29,30]. Lately, Ref.…”

Section: Introductionmentioning

confidence: 99%

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Characteristics of soliton gas with the strongest pairwise soliton interactions in the focusing Gardner equation

Zhang,

Xu,

Yang

et al. 2024

Preprint

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For the focusing Gardner equation, we investigate the dynamics of soliton gas (SG) incorporating the strongest pairwise soliton interactions that achieve the maximum attainable amplification AI = 2. In our simulated SG, the interactions of positive solitons overtaking negative ones are dominant because the velocities of most of positive solitons are larger than those of negative ones in the initial distribution. As the number of bipolar soliton pairs with AI = 2 increases, the third moment decrease in absolute while the fourth moment increases. Meanwhile, the maximum values in the global wave field increase significantly while the minimum values exhibit a relatively modest increase, owing to the generation of many high positive transient waves during interactions, as compared to the limited production of high negative transient waves. Also, an obvious elevation in the tails of global probability density functions is observed for positive wave amplitudes, which indicates an increase of the number of extreme events in the wave field. In addition, the rogue wave (RW) occurrence probability does not increase but rather decreases, in contrast to the situation in the integrable turbulence. Our findings may be useful for realizing some controllable experiments of the SGs in water waves. PACS: 05.45.Yv; 02.30.Ik; 47.35.Fg.

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Section: Introductionmentioning

confidence: 94%

Section: Statistical Momentsmentioning

confidence: 99%

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Characteristics of soliton gas with the strongest pairwise soliton interactions in the focusing Gardner equation

Zhang,

Xu,

Yang

et al. 2024

Preprint

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“…Exact solutions to nonlinear evolution equations are critical in studying soliton theory, and explicit formulations for NPDEs [9,10]. Additionally, explicit formulae may include physical information and aid in understanding the process behind linked physical models [11,12,13,14,15]. Large ships may be severely damaged by rogue waves, which arrive abruptly and unexpectedly on the surface [16].…”

Section: Introductionmentioning

confidence: 99%

Novel constructed dark, bright, and rogue waves of three models of the well-known nonlinear Schrödinger equation

Khater

2022

Preprint

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In this study, three models of the nonlinear Schrödinger equation are investigated to see whether there is any novel traveling wave solutions’ structures. “The generalized Korteweg-de Vries, (2+1) dimensional Ablowitz-Kaup-Newell-Segur, and the Maccari models ”are among the systems examined. The kinetic energy operator is impacted by mass’s location and time dependence, and different representations of the kinetic energy operator in general. The innovative soliton wave solutions for the studied models are built using the generalized Riccati expansion technique. Some unique figures represent the numerical simulations of the derived solutions. Checking for accuracy and re-entering results into the models is part of validating and improving these approaches (Mathematica 13.1).

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“…The main reasons, which play a key role in the process of rogue wave appearance, are the following linear mechanisms: dispersive focusing, which is a time-space localization of wave train energy (Kharif and Pelinovsky, 2003;Pelinovsky et al, 2011;Fedele et al, 2016), geometrical focusing in basins of variable depth (Didenkulova and Pelinovsky, 2011;Benetazzo et al, 2017), wave-current interaction (Lavrenov, 1998;Onorato et al, 2011;Toffoli et al, 2015;Shrira and Slunyaev, 2014a;Shrira and Slunyaev, 2014b), and random superposition of steep waves (Gemmrich and Cicon, 2022). Among the nonlinear mechanisms, the most significant are the modulational instability or Benjamin-Feir instability (Slunyaev et al, 2011;Ruban, 2007;Kharif and Touboul, 2010;Onorato et al, 2006), the interaction of coherent structures as solitons and breathers (Pelinovsky and Shurgalina, 2016;Slunyaev, 2019;Gelash and Agafontsev, 2018;Akhmediev et al, 2016;Didenkulova (Shurgalina), 2019;Didenkulova, 2022), and the wave-wave and wave-coast interaction in shallow water (Didenkulova and Pelinovsky, 2011;Chakravarty and Kodama, 2014;Peterson et al, 2003). Variable wind and gust also contribute to the extreme wave formation (Pleskachevsky et al, 2016).…”

mentioning

confidence: 99%

Freak wave events in 2005–2021: statistics and analysis of favourable wave and wind conditions

Didenkulova¹,

Didenkulova²,

Medvedev³

2022

Preprint

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Abstract. Freak or rogue waves are unexpectedly large waves in seas and oceans, which occur without specific reasons, and cause human loss, damage of ships, oil platforms, and coastal structures. Evidences of such waves are widely spread around the globe. The present paper is devoted to analysis of the unified collection of freak wave events from different chronicles and catalogues from 2005 to 2021. The considered rogue waves are not measured in situ data, but their descriptions, which have been found in the mass media sources and scientific articles. All of them resulted in ship or coastal/offshore structure damage and/or human losses. The collection accounts for 429 events. First, the analysis based on their characteristics taken from the descriptions of the events (including locations, water depth, damages) is carried out. Second, the analysis of wave parameters taken from the climate reanalysis ERA5 is performed. Thus, the most probable background wave parameters in time of freak event (including wind speed, gusts, significant wave height, maximum wave height, peak wave period, skewness, and kurtosis) for each freak wave event are determined.

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Mixed turbulence of breathers and narrowband irregular waves: mKdV framework

Cited by 11 publications

References 47 publications

Characteristics of soliton gas with the strongest pairwise soliton interactions in the focusing Gardner equation

Characteristics of soliton gas with the strongest pairwise soliton interactions in the focusing Gardner equation

Novel constructed dark, bright, and rogue waves of three models of the well-known nonlinear Schrödinger equation

Freak wave events in 2005–2021: statistics and analysis of favourable wave and wind conditions

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