Dust-ion-acoustic solitary waves in dusty plasma with arbitrarily charged dust and vortex-like electron distribution

Abstract

The nonlinear propagation of dust-ion-acoustic (DIA) waves in a dusty plasma containing trapped electrons following vortex-like distribution, cold mobile ions, and arbitrarily charged static dust is theoretically investigated. The properties of small but finite amplitude DIA solitary waves (SWs) are studied by employing the reductive perturbation technique. It is found that owing to the departure from the Maxwellian electron distribution to a vortex-like one, the dynamics of such DIA SWs is governed by a modified Korteweg-de Vries equation. The basic features (amplitude, width, speed, etc.) of such DIA SWs, which are found to be significantly modified by the vortex-like electron distribution and dust polarity, are also examined. The implications of our results to space and laboratory dusty plasmas are briefly discussed.

The effects of vortex like distributed electron in magnetized multi-ion dusty plasmas

“…1. In the work of Rahman and Mamun [28], they have also found only positive potentials are associate. In this work if negative ions, negative dusts and magnetic field are considered to be absent, the results are exactly similar to the the work of Rahaman and Mamun [28].…”

“…In the work of Rahman and Mamun [28], they have also found only positive potentials are associate. In this work if negative ions, negative dusts and magnetic field are considered to be absent, the results are exactly similar to the the work of Rahaman and Mamun [28]. Comparing these two works it can be said that presence of magnetic field, negative ions and negative dusts can effect the soliton profile but can not effect the direction.…”

“…Several renown scientist have used this vortex-like distribution for not only thermal electrons but also thermal ions and dusts [22][23][24][25][26][27]. Rahaman and Manun [28] have explained the effect of trapped electrons in DIA SWs with arbitrarily charged dusts. But they did not consider the presence of magnetic field.…”

Multi-component Dust-ion-acoustic Solitary and Shock Waves in an Unmagnetized Dusty Plasma with Kappa Distributed Superthermal Electrons

“…Mamun et al [14,15,16] have considered a dusty electronegative plasma containing Maxwellian electrons, Maxwellian negative ions, cold mobile positive ions, and negatively charged stationary dust, and have examined the possibility for the formation of IA and DIA solitary waves and double layers in a DENP. Rahman and Mamun have investigated the DIA solitary waves in dusty plasma with arbitrarily charged dust and vortex-like electron [17]. They have derived mK-dV equations and found only positive potential due to trapped electrons.…”

Modified Korteweg-de Vries (mK-dV) Equation Describing Dust-ion-acoustic Solitary Waves in an Unmagnetized Dusty Plasma with Trapped Negative Ions

“…Therefore, due to wave-particle interactions, the negative ions may not be isothermal (Maxwelliann), but they follow other distributions such as non-thermal [51] Kappa [52], or trapped distribution [46], [47], [53], which plays an important role in modifying basic features of nonlinear electrostatic structures [54], [55], [56], [57], [58] in many space and laboratory plasmas. Recently, Rahman and Mamun [59] have studied the nonlinear propagation of DIA solitary waves in an unmagnetized three components dusty plasma consisting of trapped electrons, cold mobile ions, and arbitrarily charged stationary dust. They have not considered negative ion which plays very important role in dusty plasma system.…”