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Nonlinear Langmuir structures: Soliton and shock in a rotating weakly relativistic electron-positron magnetoplasma with stationary positive ions

机译:非线性Langmuir结构:具有固定正离子的旋转弱相对论电子-正电子磁浆中的孤子和激波

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摘要

Theoretical and numerical studies are performed for nonlinear Langmuir structures (soliton and shock) in a rotating weakly relativistic electron-positron magnetoplasma with background stationary positive ions. For this purpose, the reductive perturbation technique is employed to the weakly relativistic hydrodynamical electrons/positrons fluid equations and Poisson equation, obtaining extended Zakharov-Kuznetsov equation. The latter has been solved analytically. The features of the nonlinear excitations and their propagation conditions are investigated numerically. Our finding could elucidate the nonlinear electrostatic structures that propagate in astrophysical plasma situations where rotating, magnetized plasma can exist; such as polar cups region of pulsars, around active galactic nuclei, neutron stars, and white dwarfs.
机译:对具有背景固定正离子的旋转的弱相对论电子-正电子磁等离子体中的非线性朗缪尔结构(孤子和激波)进行了理论和数值研究。为此,对弱相对论流体力学电子/正电子流体方程和泊松方程采用还原摄动技术,得到扩展的Zakharov-Kuznetsov方程。后者已通过分析得到解决。数值研究了非线性激发的特征及其传播条件。我们的发现可以阐明在可能存在旋转的磁化等离子体的天体等离子体中传播的非线性静电结构。例如脉冲星的极杯区域,活跃的银河核,中子星和白矮星周围。

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