量子电子-正电子-离子磁等离子体中的非线性结构：爆炸、孤子和激波
Nonlinear structures: explosive, soliton and shock in a quantum electron-positron-ion magnetoplasma
摘要：
对量子电子-正电子-离子磁等离子体中的非线性结构（爆炸、孤子和激波）进行了理论和数值研究。为此，将约化微扰方法应用于量子流体动力学方程和泊松方程，得到了推广的量子Zakharov-Kuznetsov方程。后者已解决了使用广义展开法，以获得一组解析解，它反映了各种非线性结构的传播的可能性。强调了当前研究与白矮星的相关性。
英文摘要：
Theoretical and numerical studies are performed for the nonlinear structures (explosive, solitons and shock) in quantum electron-positron-ion magnetoplasmas. For this purpose, the reductive perturbation method is employed to the quantum hydrodynamical equations and the Poisson equation, obtaining extended quantum Zakharov-Kuznetsov equation. The latter has been solved using the generalized expansion method to obtain a set of analytical solutions, which reflect the possibility of the propagation of various nonlinear structures. The relevance of the present investigation to the white dwarfs is highlighted.
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