Head-on collision of dust acoustic solitary waves in a four-component dusty plasma with nonthermal ions

Abstract

The head-on collision of dust acoustic solitary waves in a four-component unmagnetized dusty plasma with Boltzmann distributed electrons, nonthermal ions, and negatively charged dust grains as well as positively charged dust grains is investigated using the extended Poincaré-Lighthill-Kuo method. The effects of the ratio of electron temperature to ion temperature and the ratio of the positively charged dust grains mass to the negatively charged dust grains mass on the phase shift are studied. It is found that the presence of nonthermal ions plays a significant role on the collision of dust acoustic solitary waves. This study would be useful for investigations of plasma behavior in different regions of space, viz., cometary tails, upper and lower mesosphere, Jupiter’s magnetosphere, etc.

Head-on collisions of electrostatic solitons in nonthermal plasmas

“…This argument could have been made in the papers which assume equal velocities without further justification. However, it was not [3,4,8,12] or only in an indirect way [10,11,13,14]. In our model, the linear acoustic phase velocity is c = 1/ √ 1 − β.…”

“…This is sometimes assumed ab initio [3,4,6,8,[10][11][12][13][14][15], or explicitly proven at lowest order [5]. As to the type of acoustic waves studied, one finds dust-acoustic [3,10,12], dust-ion-acoustic [11], ion-acoustic [4][5][6][7][8][9]13] and electron-acoustic modes [14,15].…”

“…Even dust charge fluctuations are sometimes included [3]. Despite being based on such a rich variety of models, all papers arrive at KdV equations as the governing evolution equations [3][4][5][6][7][9][10][11][12][13][14][15], even when the derivation cannot be trusted [9,14], except when viscosity is added and the resulting equation is of the KdV-Burgers type [8].…”

“…In recent years there has been much interest in the problem of head-on collisions of acoustic solitary waves in various multispecies plasmas, for parallel [3][4][5][6][7][8][9][10][11][12][13][14][15] or oblique [16][17][18][19] propagation with respect to a static magnetic field. The papers quoted represent a typical selection of recent papers, without any claim at being exhaustive.…”

“…The inertial species are usually cold [3][4][5][7][8][9][10][11][12][13][14][15], polytropic [6], sometimes in the presence of a neutralizing background [11,14,15], while the hot species can have Boltzmann [3-6, 9, 10, 12], Cairns nonthermal [10], kappa superthermal [7], Tsallis nonextensive [9,13,14] or quantum distributions [8,11,15]. Even dust charge fluctuations are sometimes included [3].…”