Rogue wave in Titan’s atmosphere

Abstract

Rogue wave in a collisionless, unmagnetized electronegative plasma is investigated. For this purpose, the basic set of fluid equations is reduced to the Korteweg-de Vries (KdV) equation. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency then the KdV equation is also used to study the nonlinear evolution of modulationally unstable modified ionacoustic wavepackets through the derivation of the nonlinear Schrödinger (NLS) equation. In order to show that the characteristics of the rogue wave is influenced by the plasma parameters, the relevant numerical analysis of the NLS equation is presented. The relevance of our investigation to the Titan's atmosphere is discussed.

Extreme events in chaotic lasers with modulated parameter

“…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.…”

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

“…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].…”

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

“…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):…”