Electron inertia effect on small amplitude solitons in a weakly relativistic two-fluid plasma

Abstract

One-dimensional evolution of solitons in a two-fluid plasma having weakly relativistic streaming ions and electrons is studied through usual Korteweg–de Vries equation under the effect of electron inertia. Although fast and slow ion acoustic modes are possible in such a plasma, only the fast mode corresponds to the soliton propagation for a particular range of velocity difference of ions and electrons. This range depends upon the ratios of mass and temperature of the ions and electrons. The effect of electron inertia on the propagation characteristics of the soliton is studied for typical values of the speed and temperature of the ions and electrons and it is found that this effect is dominant over the relativistic effect and the effect of ion temperature.

Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

“…3 ͑mentioned later͒, where it can be noted that the phase velocity 0 increases with the negative ion density and temperature ratio ; therefore, the soliton is likely to evolve with higher amplitude. Similar effect of ion temperature ͑͒ on the soliton amplitude and width was observed by Singh et al 26 in a weakly relativistic plasma. Moreover, for the fixed ion temperature and density, it can be examined from the figure that the soliton evolves with smaller amplitude and wider width for the case of v 0 = u 0 in comparison to the case of v 0 Ͼ u 0 .…”

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

“…In a homogeneous plasma, the behavior of one-dimensional solitons is governed by the usual form of the KdV equation. [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.…”

Weakly relativistic solitons in a magnetized ion-beam plasma in presence of electron inertia

“…But all these investigations are made in unmagnetized plasmas with relativistic effect. Singh et al 23 have established small amplitude relativistic solitons effective for electron inertia and weak relativistic effect in an unmagnetized plasma. In their investigation, the presence of electron inertia is neglected and the soliton existence range between the electron-ion speeds is shown to contract under constant plasma pressure.…”