Characteristic study of head-on collision of dust-ion acoustic solitons of opposite polarity with kappa distributed electrons

Abstract

The head on collision between two dust ion acoustic (DIA) solitary waves, propagating in opposite directions, is studied in an unmagnetized plasma constituting adiabatic ions, static dust charged (positively/negatively) grains, and non-inertial kappa distributed electrons. In the linear limit, the dispersion relation of the dust ion acoustic (DIA) solitary wave is obtained using the Fourier analysis. For studying characteristic head-on collision of DIA solitons, the extended Poincaré-Lighthill-Kuo method is employed to obtain Korteweg–de Vries (KdV) equations with quadratic nonlinearities and investigated the phase shifts in their trajectories after the interaction. It is revealed that only compressive solitary waves can exist for the positive dust charged concentrations while for negative dust charge concentrations both the compressive and rarefactive solitons can propagate in such dusty plasma. It is found that for specific sets of plasma parameters, the coefficient of nonlinearity disappears in the KdV equation for the negative dust charged grains. Therefore, the modified Korteweg–de Vries (mKdV) equations with cubic nonlinearity coefficient, and their corresponding phase shift and trajectories, are also derived for negative dust charged grains plasma at critical composition. The effects of different plasma parameters such as superthermality, concentration of positively/negatively static dust charged grains, and ion to electron temperature ratio on the colliding soliton profiles and their corresponding phase shifts are parametrically examined.

Dust ion‐acoustic solitons collision in weakly relativistic plasmas with superthermality‐distributed electrons and positrons: Higher‐order phase shifts

“…[11][12][13][14] In effect, the essential motivation for successive development in the investigation of a dusty plasma is in its wide applications in various scientific fields. [21][22][23][24][25][26][27][28] For example, Chatterjee and Ghosh [22] investigated the interaction of IASs in superthermal plasmas. Furthermore, under the effects of high-energy interaction, the light-charged particles compared to dust particles (such as electrons and positrons) in a plasma medium may earn relativistic energies.…”

“…Furthermore, under the effects of high-energy interaction, the light-charged particles compared to dust particles (such as electrons and positrons) in a plasma medium may earn relativistic energies. Parveen et al [25] investigated the head-on collision between two DIASs in an unmagnetized plasma constituting adiabatic ions, static dust-charged (positively/negatively) grains, and noninertial kappa-distributed electrons. [16,17] Besides electrons and positrons, most of the space environments include dust grains and ions for forming electron-positron-ion-dust gain (EPID) plasmas.…”

“…Now, let us justify our proposed model. It is interesting to notice here that all the mentioned works [18][19][20][21][22][23][24][25][26][27][28] are restricted to derive the KdVEs and the change in the trajectory for small but finite amplitudes of IASs/DIASs after interactions. High-energy particles (i.e., electrons and positrons) produced as a result of stochastic heating processes when the pulsar relativistic wind collides with the ejecta of supernova explosion surrounding the pulsar.…”

“…Therefore, several theoretical investigations have been done, by the extended Poincaré-Lighthill-Kuo method (EPLKM), to examine the collision of ion-acoustic solitons (IASs) in different plasmas. [21][22][23][24][25][26][27][28] For example, Chatterjee and Ghosh [22] investigated the interaction of IASs in superthermal plasmas. They found that the deviation in the trajectory of the IASs becomes fast when the Maxwellian distribution is converted to the non-Maxwellian distribution.…”

“…Recently, the collision of multisolitons in plasma with a non-Maxwellian electron distribution was examined by Roy et al [24] They illustrated that the change in the trajectory of IASs increases with the decrease of the electron-to-positron temperature ratio. Parveen et al [25] investigated the head-on collision between two DIASs in an unmagnetized plasma constituting adiabatic ions, static dust-charged (positively/negatively) grains, and noninertial kappa-distributed electrons. They demonstrated that the variations in the phase shifts of the two colliding solitons depend on the different plasma parameters such as plasma species and the spectral index, and the temperature ratio.…”