Rogue wave in Titan’s atmosphere

El‐Labany, S. K.; Moslem, W. M.; El-Bedwehy, N. A.; Sabry, R.; El-Razek, H. N. Abd

doi:10.1007/s10509-011-0923-3

Cited by 75 publications

(39 citation statements)

References 43 publications

(36 reference statements)

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“…During the last two decades there is an increasing scientific interest on extreme events in general, and rogue waves in particular. Such interest is manifested by a fast increment in the number of publications on the subject in several disciplines: from oceanography [3][4][5] to astrophysics [6], and from geology [7] to optics [8][9][10][11][12]. Usually the main approach to study these events is to use the statistics properties of their occurrence.…”

Section: Introductionmentioning

confidence: 99%

Extreme events in chaotic lasers with modulated parameter

Métayer¹,

Serres²,

Rosero³

et al. 2014

Opt. Express

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We study a theoretical model describing a laser with a modulated parameter, concentrating on the appearance of extreme events, also called optical rogue pulses. It is shown that two conditions are required for the appearance of such events in this type of nonlinear system: the existence of generalized multi-stability and the collisions of chaotic attractors with unstable orbits in external crisis, expanding the attractor to visit new regions in phase space.

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Section: Introductionmentioning

confidence: 99%

Extreme events in chaotic lasers with modulated parameter

Métayer¹,

Serres²,

Rosero³

et al. 2014

Opt. Express

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“…SFB itself is a best approximation to the Benjamin-Feir type wave. KdV wave packet with its NLS envelope has been applied to study the occurrence of extreme waves in many areas, not only in the fluid dynamic but also in the fields of plasma physics, quantum electronic, and optics [41][42][43][44][45]. BBM wave packet envelope had been also analyzed in [46].…”

Section: International Journal Of Differential Equationsmentioning

confidence: 99%

Nonlinear Evolution of Benjamin-Bona-Mahony Wave Packet due to an Instability of a Pair of Modulations

Halfiani

Fadhiliani

Mardi

et al. 2018

International Journal of Differential Equations

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This article discusses the evolution of Benjamin-Bona-Mahony (BBM) wave packet's envelope. The envelope equation is derived by applying the asymptotic series up to the third order and choosing appropriate fast-to-slow variable transformations which eliminate the resonance terms that occurred. It is obtained that the envelope evolves satisfying the Nonlinear Schrodinger (NLS) equation. The evolution of NLS envelope is investigated through its exact solution, Soliton on Finite Background, which undergoes modulational instability during its propagation. The resulting wave may experience phase singularity indicated by wave splitting and merging and causing amplification on its amplitude. Some parameter values take part in triggering this phenomenon. The amplitude amplification can be analyzed by employing Maximal Temporal Amplitude (MTA) which is a quantity measuring the maximum wave elevation at each spatial position during the observation time. Wavenumber value affects the extreme position of the wave but not the amplitude amplification. Meanwhile, modulational frequency value affects both terms. Comparison of the evolution of the BBM wave packet to the previous results obtained from KdV equation gives interesting outputs regarding the extreme position and the maximum wave peaking.

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“…Accordingly, the positive sign of P Q is allowed for a random perturbation of the amplitude to grow and then, a very huge wave may be created. Several analytical methods have recently been proposed to find out exact rouge wave solutions of NLS equation (Akhmediev and Ankiewicz 1997;Akhmediev et al 2009;El-Labany et al 2012). One of the most important type of these solutions is the rational solution that is located on a nonzero background and localized both in the X and T directions as Peregrine 1983):…”

Section: Nonlinear Analysismentioning

confidence: 99%

Nonlinear dust acoustic rogue waves in a two temperature charged dusty grains plasma

Selim

Abdelwahed

El-Attafi

2015

Astrophys Space Sci

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The properties of nonlinear dust-acoustic rogue waves in an unmagnetized, collisionless, four-component dusty plasma system consisting of electrons, nonthermal ions, hot and cold dust species have been investigated. The basic set of fluid equations is reduced to a nonlinear Schrodinger equation. The dependence of the rogue wave properties on the ion energetic population parameter is discussed. The results of the present investigation could be applicable in Saturn F-ring.

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Rogue wave in Titan’s atmosphere

Cited by 75 publications

References 43 publications

Extreme events in chaotic lasers with modulated parameter

Extreme events in chaotic lasers with modulated parameter

Nonlinear Evolution of Benjamin-Bona-Mahony Wave Packet due to an Instability of a Pair of Modulations

Nonlinear dust acoustic rogue waves in a two temperature charged dusty grains plasma

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