Analytical solutions for the (3+1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation in plasma physics

Abstract

In the current study, we investigate the (3+1)-dimensional extended quantum Zakharov-Kuznetsov equation through two different methods namely the sine-Gordon expansion method and the (1/G ')-expansion method. The given model represent the nonlinear propagation of the quantum ion-acoustic wave. Traveling wave transformation has been used, in order to convert the governing equation into a non-linear ordinary differential equation. As a result, we successfully construct various exact wave solutions, such as shock, topological, non-topological solutions, periodic wave solutions, and singular solutions. In addition, 2D, 3D and contour surfaces are plotted according to the appropriate parameters values. (C) 2020 Elsevier B.V. All rights reserved.