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

Karmina K. Ali, Resat Yilmazer, Asıf Yokus and Hasan Bulut

Physica A: Statistical Mechanics and its Applications, 2020, vol. 548, issue C

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.

Keywords: The (3＋1)-dimensional extended quantum Zakharov–Kuznetsov equation; The (1∕G′)-expansion method; The Sine–Gordon expansion method; Exact solutions (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:548:y:2020:i:c:s0378437120301084

DOI: 10.1016/j.physa.2020.124327

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