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Linear and nonlinear electromagnetic waves in a magnetized quantum electron-positron plasma

Mahdi Momeni ()
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Mahdi Momeni: Faculty of Physics, Shahrood University, Shahrood, Iran

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 05, 1-11

Abstract: The linear and nonlinear properties of the electromagnetic waves are investigated in a magnetized quantum electron–positron(e–p)plasma by employing thequantum hydrodynamic(QHD) model. It is found that the quantum dispersion relation in comparison with the classical version is modified by the quantum corrections through quantum diffraction and statistics. The standard reductive perturbation technique is used to derive theKorteweg–de Vries(KdV) equation. The exact soliton solutions and the existence regions of the solitary waves are also defined precisely. It is also shown that the results are affected by the quantum corrections.

Keywords: Electron–positron plasma; electromagnetic waves; Korteweg–de Vries; soliton; 94.05.Lk; 52.35.-g (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115500588

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