Lower order three-dimensional Burgers equation having non-Maxwellian ions in dusty plasmas

Abstract

The dust acoustic (DA) shock wave with dust charge fluctuations, non-Maxwellian ions, and non-isothermal electrons is studied theoretically. The perturbation technique is employed to derive the lower order three-dimensional (3D) Burgers equation, and shock wave solution is explored by the tan-hyperbolic method. The effects of flat trapped and trapped electron distributions in the presence of Maxwellian and non-Maxwellian ions on characteristics shock waves are observed. The temperature ratio of non-Maxwellian ion temperature and non-isothermal electron temperature is found to play an important role in forming the shock-like structure.

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

“…[1][2][3][4][5] The study of electron-positronion (EPI) plasmas has been growing extensively due to their presence in the early universe, in the active galactic nuclei, in the pulsar magnetosphere, ionosphere, in the solar atmospheres, etc. [6][7][8][9][10][11] It is well known that when positrons are introduced into an electron-ion plasma, the response of the electrostatic waves changes significantly in comparison to the usual two component plasmas. [5,12,13] Therefore, it is worthwhile to study the nonlinear wave propagation in electronpositron-ion plasmas for understanding the dynamical behaviour of astrophysical and laboratory plasmas.…”