Electron inertia contribution to soliton evolution in an inhomogeneous weakly relativistic two-fluid plasma

Abstract

The contribution of electron inertia to the evolution of solitons in weakly and strongly inhomogeneous plasmas having streaming ions and electrons with weak relativistic effect is studied on the basis of a relevant Korteweg–de Vries equation derived with the help of reductive perturbation technique. Three types of modes (fast, medium, and slow) are found to propagate in the plasma. In case of weak (strong) inhomogeneous plasma, only the fast (slow) mode corresponds to the soliton evolution. For the propagation of solitons in strongly inhomogeneous plasma, there is no restriction on the ion and electron velocities but in case of weak inhomogeneity the solitons are possible only for a particular range of velocity difference. This range shows the dependence on the temperature and mass ratios of the ions and electrons. In addition, it is realized that only the rarefactive solitons are possible in the present plasma model. The effect of electron inertia on the phase velocity, peak soliton amplitude, and soliton width is studied together with the effects of plasma density, ion temperature, and speeds (relativistic effects) of ions and electrons.

High-frequency instabilities in an explosion-generated relativistic plasma

“…However, the propagation speed of the instabilities is enhanced in both the cases and this effect is linear in nature. Consistent to this observation in an EGRP, other investigators have also found the same effect of relativistic speeds of ions and electrons on the phase velocity of linear ion acoustic waves [16][17][18][19][20][21]31].…”

“…Considering a relativistic ion beam and a nonisothermal plasma, Fainshtein and Chernova [15] have investigated high-frequency instabilities and the high power electromagnetic radiation generation from the development of an explosive. Relativistic plasmas have also been explored for the instabilities and nonlinear waves that retain their shapes during propagation [16][17][18][19][20][21].…”

Inhomogeneity Effect on Solitary Structures in a Magnetized Warm Plasma: Ionization Versus Recombination

“…The width of the structure is given by the expression W L −1 = 2LV L 3 , which means the width is real as long as L is positive. In the present model, we find that L is positive for both the fast and slow modes, contrary to the case of weakly relativistic plasma [26], in which the width is not real for the fast mode.…”

Soliton propagation in an inhomogeneous plasma at critical density of negative ions: Effects of gyratory and thermal motions of ions

“…[1][2][3][4][5] However, this equation gets modified with the variable coefficients and/or an additional term that appears due to the presence of density gradient in the case of inhomogeneous plasmas. [6][7][8] On the other hand, relevant KdV equations have been reported in plasma under the effect of external static magnetic field, which show the modification in the soliton propagation characteristics. 3,[9][10][11][12] In ordinary plasma with positive ions and electrons, usually compressive solitons are found to propagate.…”