Abstract

Nonlinear propagation of ion-acoustic (IA) shock wave in a nonextensive and relativistic plasma is investigated by deriving space fractional Korteweg–de Vries–Burgers (SFKB) equation. This unmagnetized and collisionless plasma contains relativistic thermal ions, q-distributed electrons, and positrons. A modified tanh-function method is presented to solve the obtained SFKB equation taking space fractional and relativistic parameters, electrons nonextensivity, positrons nonextensivity, and electron-to-positron temperature ratio. It is observed that the structure of the IA shock wave can be modified by space fractional parameters. On the other hand, the IA shock wave shape can be modulated using the space fractional parameter. Our results can help understand the astrophysical environments such as pulsar magnetospheres, quasars, and collimated jets.

中文翻译：

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相对论性离子在非扩展电子-正电子-离子等离子体中的冲击波研究

摘要

通过推导空间分数Korteweg-de Vries-Burgers（SFKB）方程，研究了离子声（IA）冲击波在非扩展和相对论等离子体中的非线性传播。这种未磁化且无碰撞的等离子体包含相对论热离子q分布的电子和正电子。提出了一种改进的tanh函数方法，用于求解所获得的SFKB方程，该方程具有空间分数和相对论参数，电子非扩展性，正电子非扩展性以及电子与正电子的温度比。可以看出，IA冲击波的结构可以通过空间分数参数来修改。另一方面，可以使用空间分数参数来调制IA冲击波形状。我们的结果可以帮助理解诸如脉冲星磁层，类星体和准直射流这样的天体环境。