Abundant stable and accurate solutions of the three-dimensional magnetized electron-positron plasma equations

Abstract

This paper tries constructing analytical and numerical solutions of three-dimensional magnetized electron-positron plasma equations. In magnetized electron-positron plasma with equally hot and cool components of each species, these waves demonstrate weakly nonlinear ion-acoustic characteristics that make studying their dynamical behavior an essential target for its applications. A reduction perturbation method was previously employed to convert this model into the three-dimensional modified Korteweg–de Vries-Zakharov–Kuznetsov (3D KdV–ZK) equation. Operating two recent analytical techniques to the transformed equation gets abundant traveling wave solutions that are used to construct the requested conditions for applying a semi-analytical scheme. Furthermore, the stability property of obtained analytical solutions has been studied. The purposed analytical and semi-analytical method’s performance is investigated to show their power, effectiveness for applying to some nonlinear evolution equations.