Computational and analytical solutions to modified Zakharov–Kuznetsov model with stability analysis via efficient techniques

Abstract

In this paper, we present the analytic and numerical solutions of the newly modified Zakharov-Kuznetsov equation. This model is used to study the waves in different plasmas. The analytical solutions were achieved by the extended tanh method and the Sine Gordon method while the numerical one is achieved by the implicit finite difference method and the local truncation error and the stability analysis for the difference scheme are given. Graphical representations of exact and numerical solutions are given to illustrate our results. In addition to the other known results in the literature, the paper contributes new analytical and numerical results.

Analytical Soliton Solutions of the Coupled Radhakrishnan‐Kundu‐Lakshmanan Equation via Three Techniques

“…This work is arranged as, in Section 1, we analyze briefly about the fundamental techniques. The ðG ′ /GÞ-expansion method [25][26][27], the general form of Kudryashov method [28,29], and the extended tanh method [30][31][32][33][34], the analysis of solutions is given in Section 3, in Section 4, we present some illustrative graphs, and a definitive conclusion is presented in Section 5.…”