Dust ion acoustic multi-shock wave excitations in the weakly relativistic plasmas with nonthermal nonextensive electrons and positrons

Abstract

This article investigates the dust ion acoustic multi-shock wave excitations in weakly relativistic multi-component plasma by assuming nonthermal, nonextensive electrons and positrons, relativistic ion fluid having kinetic viscosity and immobile dust. Burgers equation is derived to investigate such excitations by applying the reductive perturbation method. The exponential functions are directly implemented to determine the novel multi-shock wave solution of Burgers equation. The dust ion acoustic (DIA) multi-shock wave excitations are investigated systematically to reveal the effects of parameters, namely, viscosity coefficient of ions, positron to electron density ratio, immobile dust to electron density ratio, ion to electron temperature ratio, electron to positron temperature ratio, and relativistic streaming factor of ions in the presence of nonthermal, nonextensive, and concurrently acting nonthermal and nonextensive electrons as well as positrons. It is found that the amplitudes and widths of not only single, but also multi-shock wave compressive and rarefactive electrostatic potential structures are changed with the influence of all plasma parameters. The obtained results may be useful to analyze the nature of DIA multi-shock wave phenomena in various astrophysical as well as space environments (particularly, in pulsar relativistic winds with supernova ejecta) and future studies in plasma laboratory.

Dust‐ion‐acoustic shock wave excitations at super‐critical points with quartic nonlinearity

“…Now, it is formulated the following solutions along with a remarkable equation from the O ( 𝜀 6 ) -order equations:…”

“…It's noteworthy to note that the O ( 𝜀 6 ) -order equations is solvable only if Q f = 0 and CVs are supported by setting P f = 0. As a result, one can be evaluated the super critical values (SCVs) for any given parameter by setting Q f = 0.…”

“…Moreover, the basic features of arbitrary and small but finite amplitudes propagation of DIA waves are still mostly focused issues for better understanding the mechanism of dusty plasmas (DPs). [5][6][7][8][9] Shukla and Silin [5] originally proposed a theoretical explanation for the presence of low-frequency DIA waves in ASPSs. In their foundational investigation, they have mentioned that probably the presence of dense, massive, and immobile charged dust particles in electron-ion plasmas has a substantial impact on the motion of the waves.…”

Dynamical plane wave solutions for the Heisenberg model of ferromagnetic spin chains with beta derivative evolution and obliqueness

“…It is noted that represents the normalized complex amplitude of the wave profile. Many research scholars [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] , [32] , [33] have devoted significant effort to revealing various types of traveling wave solutions for mathematical physics equations like Eq. (1) by considering many environments via several types of theoretical and computational architectures.…”

Effects of non‐thermality and plasma parameters on dust‐ion‐acoustic shock waves

“…These plasmas are ubiquitous in both space and laboratories [2][3][4][5][6][7][8] and can support various (non)linear low-frequency wave modes, for example dust-acoustic waves (DAW), [9] dust-ion-acoustic waves (DIAW), [10] dust lattice waves, [11] dust-acoustic shock waves (DASHWs), [12,13] dust-ion-acoustic shock waves (DIASHWs), [6] dust Coulomb waves [12] and cusp solitons, [14] thus, remain to be an active area of research. [15][16][17][18][19][20][21] The DIAWs gained a lot of interest shortly after their prediction by Shukla and Silin in 1992. [10] These waves are believed to play a critical role in both terrestrial and space plasmas.…”