Observation of Rogue Waves

Kharif, Christian; Pelinovsky, Efim; Slunyaev, Alexey

doi:10.1007/978-3-540-88419-4_2

Cited by 163 publications

(319 citation statements)

References 14 publications

Supporting

Mentioning

317

Contrasting

Unclassified

Order By: Relevance

“…Such waves may also appear in other environments such as oceanic rogue waves [32,33], stock market crashes [34], optical rogue waves [35,36], superfluid helium [37], Bose-Einstein condensates [38], atmospheric physics [39] and opposing current flow [40]. The rogue waves in plasmas may be generated due to wavewave interactions [41], and their evolution can also be described by the NLS equation for modulated wave packets.…”

Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

View full text Add to dashboard Cite

We study the amplitude modulation of ion-acoustic wave (IAW) packets in an unmagnetized electron-ion plasma with two-temperature (cool and hot) electrons in the context of the Tsallis' nonextensive statistics. Using the multiple-scale technique, a nonlinear Schrödinger (NLS) equation is derived which governs the dynamics of modulated wave packets. It is shown that in nonextensive plasmas, the IAW envelope is always stable for long-wavelength modes (k → 0) and unstable for short-wavelengths with k > ∼ 1. However, the envelope can be unstable at an intermediate scale of perturbations with 0 < k < 1. Thus, the modulated IAW packets can propagate in the form of bright envelope solitons or rogons (at small-and medium scale perturbations) as well as dark envelope solitons (at large scale). The stable and unstable regions are obtained for different values of temperature and density ratios as well as the nonextensive parameters qc and q h for cool and hot electrons. It is found that the more (less) the population of superthermal cool (hot) electrons, the smaller is the growth rate of instability with cutoffs at smaller wave numbers of modulation.

show abstract

Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

View full text Add to dashboard Cite

show abstract

“…It was first observed in the area of oceanography [18] and is traditionally defined as a wave whose wave-height (the distance from trough to crest) is more than twice the significant wave height (SWH). The latter is generally defined as the average wave height among one third of highest waves in a given time series [18,19]. Further, it has also been explained that the above structure (5) arises due to a modulation instability (MI) [16,20] of the plane wave solution of the constant coefficient NLS equation.…”

Section: Introductionmentioning

confidence: 99%

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

et al. 2014

View full text Add to dashboard Cite

We construct higher order rogue wave solutions and breather profiles for the quasi-one-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap through the similarity transformation technique. We consider three different forms of traps, namely (i) timeindependent expulsive trap, (ii) time-dependent monotonous trap and (iii) time-dependent periodic trap. Our results show that when we change a parameter appearing in the time-independent or time-dependent trap the second and third-order rogue waves transform into the first-order like rogue waves. We also analyze the density profiles of breather solutions. Here also we show that the shapes of the breathers change when we tune the strength of trap parameter. Our results may help to manage rogue waves experimentally in a BEC system.

show abstract

“…The topic has been discussed in numerous papers, with recent reviews and summaries in the proceedings edited by Müller and Henderson (2005), the review paper by Dysthe et al (2008) and the book by Kharif et al (2009). Garrett and Gemmrich (2009) is a brief summary.…”

Section: Introductionmentioning

confidence: 99%

Dynamical and statistical explanations of observed occurrence rates of rogue waves

Gemmrich

Garrett

2011

Nat. Hazards Earth Syst. Sci.

View full text Add to dashboard Cite

Abstract. Extreme surface waves occur in the tail of the probability distribution. Their occurrence rate can be displayed effectively by plotting ln(−lnP ), where P is the probability of the wave or crest height exceeding a particular value, against the logarithm of that value. A Weibull distribution of the exceedance probability, as proposed in a standard model, then becomes a straight line. Earlier North Sea data from an oil platform suggest a curved plot, with a higher occurrence rate of extreme wave and crest heights than predicted by the standard model. The curvature is not accounted for by second order corrections, non-stationarity, or Benjamin-Feir instability, though all of these do lead to an increase in the exceedance probability. Simulations for deep water waves suggest that, if the waves are steep, the curvature may be explained by including up to fourth order Stokes corrections. Finally, the use of extreme value theory in fitting exceedance probabilities is shown to be inappropriate, as its application requires that not just N, but also lnN, be large, where N is the number of waves in a data block. This is unlikely to be adequately satisfied.

show abstract

Observation of Rogue Waves

Cited by 163 publications

References 14 publications

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

Manipulating matter rogue waves and breathers in Bose-Einstein condensates

Dynamical and statistical explanations of observed occurrence rates of rogue waves

Contact Info

Product

Resources

About