Communications in Theoretical Physics, Volume. 72, Issue 8, (2020)
The influence of Landau quantization on the propagation of solitary structures in collisional plasmas
AbstractIn this work, we study damped ion acoustic solitary wave structures in magnetized dense plasmas. The collisional effects of ions with electrons and neutrals are considered. The trapping effects of electrons and Landau quantization are included in the plasma model under consideration. We assume that magnetic field is quantized such that the condition kBT≪ℏ&ohgr;ce is satisfied. We have derived the damped Korteweg–de Vries (dKdV) equation by using small amplitude reductive perturbation technique. The time-dependent analytical and numerical solutions of the dKdV equation are presented. For numerical solutions we apply a two level finite difference scheme with the help of the Runge Kutta method. The effects of variations of different plasma parameters on the propagation characteristics of damped solitary structures in the presence of collisions are discussed.
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S Hussain, N Akhtar. The influence of Landau quantization on the propagation of solitary structures in collisional plasmas[J]. Communications in Theoretical Physics, 2020, 72(8):
Received: Dec. 13, 2019
Accepted: Apr. 7, 2020
Published Online: Apr. 22, 2021
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