Time-fractional KdV equation for electron-acoustic waves in plasma of cold electron and two different temperature isothermal ions

Abstract

The time fractional KdV equation is derived for small but finite amplitude electron-acoustic solitary waves in plasma of cold electron fluid with two different temperature isothermal ions. The effects of the time fractional parameter on the electrostatic solitary structures are presented. It is shown that the effect of time fractional parameter can be used to modify the amplitude of the electrostatic waves (viz. the amplitude, width and electric field) of the electronacoustic solitary waves. The model may provide a possible explanation for the low-frequency component of the broadband electrostatic noise in the plasma sheet boundary layer of the Earth's magnetotail where the electron beams are not present.

Invariant Subspace Method and Exact Solutions of Certain Nonlinear Time Fractional Partial Differential Equations

“…It is appropriate to mention that the time fractional KdV type equations have a lot of applications in physics of plasmas, see e.g. [7][8][9].…”

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

“…Recently, there have been several reports on nonlinear dynamics of electron-acoustic waves in electron-ion plasmas (Smain and Tribeche 2010;Pakzad and Tribeche 2011;El-Wakil et al 2011;El-Shewy 2011). On the other hand, Quantum plasma, which has a very high electron number density and a low electron temperature in comparison with classical plasmas, is a new emerging and a rapidly growing subfield of plasma physics.…”

Nonplanar dust ion-acoustic solitary and shock excitations in electronegative plasmas with trapped electrons

“…Recently, Mamun et al (2009aMamun et al ( , 2009b have investigated the properties of solitary waves and double layers in an electronegative dusty plasma in a planar geometry, and compared the results with experiment of Ghim and Hershkowitz (2009). Many authors have been investigated the nonlinear wave behavior in multicomponent plasmas (see e.g., El-Labany et al 2008Kalita and Barman 2010;Shalaby et al 2010;Tribeche and Benzekka 2011;Alinejad 2011;El-Shewy et al 2011;Pakzad 2011;Sabry et al 2011;Elwakil et al 2011). However, to the authors' knowledge, the study of nonplanar three-dimensional pulses (solitary and shock pulses) in multicomponent (positive-negative) trapped plasmas with stationary positively/negatively charged dust impurities has not been examined so far, which is the aim of the present work.…”