Effect of electron inertia on the speed and shape of ion-acoustic solitary waves in plasma

Abstract

Conditions for the existence of ion-acoustic solitary waves are investigated in a cold collisionless plasma taking into account the electron inertia. The Sagdeev’s pseudopotential is derived in terms of u, the ion velocity. It is found that there exists a critical value of u0(≠0), the value of u at which (u′)2=0, beyond which the soliton solution ceases to exist and the electron inertia plays a non-insignificant role in determining this critical value. This result reproduces the result of Johnston and Epstein [Phys. Plasmas. 7, 906 (2000)] when the effect of electron inertia is neglected.

Speed and Shape of Electrostatic Waves in Dust-Ion Plasma

“…They observed that a very small change in the initial conditions destroys the oscillatory behaviour of the wave. Chatterjee and Das [34] also observed the effect of electron inertia on the critical value of u, the ion speed of the waves, for which the oscillatory behaviour is destroyed. Maitra and Roychoudhury [35] studied dust acoustic solitary waves by the same technique, considering the dust dynamics in a dusty plasma consisting of warm dust particles and Boltzmann-distributed electrons and ions.…”

“…Brought to you by | MIT Libraries Authenticated Download Date | 5/10/18 12:32 AM Recently Chatterjee and Jana [36] studied the speed and shape of dust acoustic solitary waves in the presence of dust streaming by the same technique used in [32,34,35]. But in both studies in [35] and [36] dust acoustic solitary waves in the one-dimensional and unmagnetized plasma were investigated.…”

Speed and shape of large-amplitude solitary waves in ion-beam plasma system

“…They observed that a very small change in the initial condition destroyed the oscillatory behavior of the solitary waves. Chatterjee and Das [22] found that the electron inertia has a significant role in determining the critical initial value of the ion speed beyond which the solitary waves cease to exist. Later Chatterjee [23] and Chatterjee et al [24,25] studied this phenomena on solitary waves for different situations.…”

“…(1)-(9), we assume that all dependent variables depend on a single independent variable = x -Vt, where V is the velocity of the solitary wave and the variable ~ is the spatial coordinate in the coordinate system moving with the solitary-wave velocity. In the pseudopotential approach several authors used it[19][20][21][22][23]. In terms of Eqs.…”

Star formation through thermal instability of radiative plasma with finite electron inertia and finite Larmor radius corrections

“…Pegoraro et al 20 have shown the importance of electron inertia in non-uniform collisionless plasma having small scale magnetic structures. Chatterjee and Das 21 have pointed out the effect of electron inertia on the speed and shape of ion-acoustic solitary waves in plasma. Shukla et al 22 have studied the effect of electron inertia on kinetic Alfven waves.…”