The characteristics of ion-acoustic solitary waves in rotating, weakly relativistic, magnetised and collisionless plasma system comprising electron, positron and ion (EPI) under a periodic external force, whose constituents electron and positron obey Boltzmann distribution, are investigated by deriving forced Zakharov–Kuznetsov (FZK) equation. FZK equation is constructed using reductive perturbation technique (RPT) which is based on multiple-scale analysis of dependent variables. The effects of physical parameters such as the ratio of temperature of electron and positron, the strength of external periodic force, positron concentration in electron background, ion temperature and magnetic field on the analytical solitary wave solution of FZK equation are observed. It is seen that the behaviours of ion-acoustic wave are significantly affected due to the presence of positron and the periodic external forces. The results of this work may be applied when the above-mentioned plasma environment is found in laboratory as well as in space.

通过推导Zakharov –力，研究了在周期性外力作用下的旋转的弱相对论，磁化且无碰撞的包括电子，正电子和离子（EPI）的等离子体系统中的离子声孤立波的特性，该系统的电子和正电子服从Boltzmann分布。库兹涅佐夫（FZK）方程。FZK方程是使用归因摄动技术（RPT）构造的，该技术基于对因变量的多尺度分析。观察了FZK方程解析孤波解的物理参数，如电子与正电子的温度比，外部周期性力的强度，电子本底中的正电子浓度，离子温度和磁场等。可以看出，由于正电子的存在和周期性的外力，离子声波的行为会受到显着影响。当在实验室以及太空中都发现上述等离子体环境时，可以应用这项工作的结果。