Kink and multi soliton wave solutions of the Zakharov-Kuznetsov equation via an efficient algorithm

In this investigation, the generalized (G′G2)–expansion method is proposed and applied to the generalized Zakharov-Kuznetsov (ZK) equation with variable coefficient, which exists in many scientific fields like, plasma material science, and optical fiber. Further, our aim in this paper is to achieve the closed form solutions of ZK equation. The newly presented solutions are of hyperbolic, trigonometric, and rational functions. The dynamical representation of the solutions are shown as annihilation of three–dimensional kink waves, and multi-soliton waves.