Volume 130, Number 3, May 2020
|Number of page(s)||5|
|Section||Physics of Gases, Plasmas and Electric Discharges|
|Published online||29 May 2020|
Electron trapping in spatially non-uniform magnetoplasmas
1 COMSATS University Islamabad (CUI), Islamabad Campus - Park Road, Chak Shahzad, Islamabad, Pakistan
2 National Centre for Physics - Shahdara Valley Road, Islamabad, Pakistan
Received: 6 January 2020
Accepted: 15 May 2020
In this paper, we have examined nonlinear drift waves in an electron-ion magnetoplasma in the presence of background density gradient and trapped electrons. Using the drift approximation, we have obtained a nonlinear equation that closely resembles Gardner equation in homogeneous plasmas in a much more simple and elegant manner. We have explained at length the procedural difference to obtain such an equation in an inhomogeneous plasma to highlight the novelty of the equation presented here. We have given it the name drift trapped Gardner (DTG) equation which, to the best of our knowledge, has not been discussed in the literature before. It has been shown that ignoring the quadratic nonlinearity as a higher-order term yields the drift trapped Korteweg-de Vries (DTKdV) equation. We have explored in detail the differences between the two equations and their solutions. It has been observed that both DTG and DTKdV equations admit compressive solitary solutions for the system under consideration. The importance of the present investigation with special reference to space plasmas is also pointed out.
PACS: 52.35.Kt – Drift waves / 52.35.Fp – Electrostatic waves and oscillations (e.g., ion-acoustic waves) / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
© EPLA, 2020
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