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

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. [ABSTRACT FROM AUTHOR]