Solitary solution and energy for the Kadomstev–Petviashvili equation in two temperatures charged dusty grains

Abstract

The nonlinear properties of small amplitude dustacoustic solitary waves (DAWs) in a homogeneous unmagnetized plasma having electrons, singly charged ions, hot and cold dust species with Boltzmann distributions for electrons and ions have been investigated. A reductive perturbation method was employed to obtain the KadomstevPetviashvili (KP) equation. The effects of the presence of charged hot and cold dust grains on the nature of DAWs were discussed. Moreover, the energy of two temperatures charged dusty grains were computed. The present investigation can be of relevance to the electrostatic solitary structures observed in various space plasma environments.

Rogue wave in Titan’s atmosphere

“…Also, the electronegative plasmas appear in the universe in some plasma environments, such as in the Earth's ionosphere (Massey 1976). Many theoretical efforts have been paid to understand the basic features of the electronegative plasmas in different systems (see e.g., Das and Singh 1991;El-Labany et al 2000;Tribeche and Benzekka 2011;El-Shewy et al 2011;Pakzad 2011;El-Shewy 2011;El-Tantawy and Moslem 2011). Chaizy et al (1991) reported the presence of the negative ions in the coma of comet Halley, which can easily be destroyed by the solar radiation and they predicted the presence of the negative ions in similar neutral gas and dust environments farther away from the sun like Jupiter's or Saturn's magnetospheres and that negative ions will play a role in a physical processes such as radiative transfer or charge exchange.…”

Propagation of Nonlinear Pressure Waves in Blood

“…Substituting (11) and (12) into (6) and (9) and equating coefficients of like powers of . Then, from the lowest-order equations in the following results are obtained:…”

“…They studied the propagation of weakly nonlinear waves in the long wave approximation by the use of the perturbation methods [9]. Many authors examined the stability and the soliton existence condition via the potential and the corresponding phase portrait [10][11][12]. Elwakil et al [10] studied the propagation of solitary electron acoustic waves in unmagnetized collisionless plasma.…”

Nonplanar dust ion-acoustic solitary and shock excitations in electronegative plasmas with trapped electrons

“…Recently, Mamun et al (2009aMamun et al ( , 2009b have investigated the properties of solitary waves and double layers in an electronegative dusty plasma in a planar geometry, and compared the results with experiment of Ghim and Hershkowitz (2009). Many authors have been investigated the nonlinear wave behavior in multicomponent plasmas (see e.g., El-Labany et al 2008Kalita and Barman 2010;Shalaby et al 2010;Tribeche and Benzekka 2011;Alinejad 2011;El-Shewy et al 2011;Pakzad 2011;Sabry et al 2011;Elwakil et al 2011). However, to the authors' knowledge, the study of nonplanar three-dimensional pulses (solitary and shock pulses) in multicomponent (positive-negative) trapped plasmas with stationary positively/negatively charged dust impurities has not been examined so far, which is the aim of the present work.…”