On the head-on collision between two ion acoustic solitary waves in a weakly relativistic plasma containing nonextensive electrons and positrons

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

“…The basic set of governing equations is stated as [18,19] : The basic set of governing equations is stated as [18,19] :…”

“…[7][8][9] Besides superthermal plasmas, the existence of a dust particle leads to create new modes such as dust-acoustic and dust-ion acoustic. [15][16][17][18][19] In fact, we have focused our attention on the pulsar magnetosphere due to the presence of superthermal particles and high-speed streaming ions. [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.…”

“…Consequently, because the streaming velocities of the electrons and positrons are close to the speed of light, it is essential to study the relativistic effect in EPID plasmas in the astrophysical plasmas such as pulsar magnetosphere, and laser plasma interaction, and so on. Khaled [18] has investigated the face-to-face collision and the phase shift between IASs in a multicomponent plasma consisting of relativistic cold ions, nonextensive electrons, and positrons. Now, let us justify our proposed model.…”

“…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.…”

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

“…Recently numerous investigations have been made to observe the head-on collision of two, electron-acoustic [10][11], DA [12][13], DIA [14][15], IA [16][17] solitary waves. Few theoretical investigations have already been made by some researcher on magnetized as well as un magnetized quantum plasmas.…”