This theoretical investigation has been done to develop a mathematical model which could used to study such plasma system in the space where electrons follow non-extensive distribution, ions are positively and negatively charged, and dust particles are also charged like ions (both positive and negative) in characteristics in the presence of an magnetic field. Using the standard reductive perturbation method and stretching coordinates, at first Zakharov-Kuznetsov (ZK) equation was derived, then extended Tanh method was used for obtaining the nonlinear wave solution of ZK equation. Finally, a computational based numerical analysis has been done where many studied characteristics are found to be exited for the nonlinear propagation of different dense astrophysical compact objects in the space where magnetic field has been found to play an equal & important role like charged ions and dust gains.

这项理论研究旨在开发一个数学模型，该模型可用于研究电子遵循非广泛分布的空间中的等离子体系统，离子带正电和负电，尘埃粒子也像离子一样带电（正负两种） ) 存在磁场时的特性。利用标准的约简微扰方法和伸缩坐标，首先推导出Zakharov-Kuznetsov(ZK)方程，然后用扩展Tanh方法得到ZK方程的非线性波解。最后，进行了基于计算的数值分析，发现许多研究的特征存在于不同致密天体物理致密物体在已发现磁场相等的空间中的非线性传播。