Head-on collision of dust-ion-acoustic soliton in quantum pair-ion plasma

Abstract

In this paper, we study the head-on collision between two dust ion acoustic solitons in quantum pair-ion plasma. Using the extended Poincare–Lighthill–Kuo method, we obtain the Korteweg–de Vries equation, the phase shifts, and the trajectories after the head-on collision of the two dust ion acoustic solitons. It is observed that the phase shifts are significantly affected by the values of the quantum parameter H, the ratio of the multiples of the charge state and density of positive ions to that of the negative ions β and the concentration of the negatively charged dust particles δ.

Head-on collisions of electrostatic solitons in nonthermal plasmas

“…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].…”

Conservation law and exact solutions for ion acoustic waves in a magnetized quantum plasma

“…The plasma is considered to be in the uniform external magnetic field B 0 = B 0ẑ , where B 0 is the strength of the magnetic field andẑ is the unit vector in the z-direction. The nonlinear dynamics of ion acoustic waves in space in such a magnetized quantum plasma system is described by the following set of dimensionless equations [31].…”