K–P–Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

Abstract

The stationary solution is obtained for the K-P-Burgers equation that describes the nonlinear propagations of dust ion acoustic waves in a multi-component, collisionless, un-magnetized relativistic dusty plasma consisting of electrons, positive and negative ions in the presence of charged massive dust grains. Here, the Kadomtsev-Petviashvili (K-P) equation, threedimensional (3D) Burgers equation, and K-P-Burgers equations are derived by using the reductive perturbation method including the effects of viscosity of plasma fluid, thermal energy, ion density, and ion temperature on the structure of a dust ion acoustic shock wave (DIASW). The K-P equation predictes the existences of stationary small amplitude solitary wave, whereas the K-P-Burgers equation in the weakly relativistic regime describes the evolution of shock-like structures in such a multi-ion dusty plasma.

Ion-acoustic shock waves in magnetized pair-ion plasma

“…An external magnetic field B 0 has been considered in the system directed along the z-axis defining B 0 = B 0 ẑ, where B 0 and ẑ are the strength of the external magnetic field and unit vector directed along the z-axis, respectively. The dynamics of the magnetized PI plasma system is governed by the following set of equations [36,37,38,39,40,41,42]…”

Nonlinear ion-acoustic solitary waves in an electron-positron-ion plasma with relativistic positron beam

“…Many researchers in due course of time exhibited the importance of relativistic effects in the modification of plasma wave dynamics. [23][24][25][26][27][28][29] In the ionospheric plasma system, [30] there is always a possibility of its interaction with highly intense charged particle beam coming from outer space. Therefore, in such conditions, the solitary wave in nonrelativistic plasmas may interact with relativistic charged particle beam.…”