Exact Solution for the Zakhrov-Kuzentsov Equation by Adomian Decomposition Method
Fadlallah Mustafa Mosa, Eltayeb Abdellatif Mohamed Yousif
Asian Research Journal of Mathematics · pp. 1–11 · Published 24 Mar 2020
10.9734/arjom/2020/v16i430182Abstract
The Zakharov-kuznetsov equation (ZK-equation) governs the behavior of weakly nonlinear ion-acoustic waves in plasma comprising cold ions and not isothermal electrons in the presence of a uniform magnetic field. This equation is a nonlinear equation. The main objective in this paper is to find an exact solution of ZK-equation using Adomain decomposition method. An exact solution of ZK(n,n,n) is derived by Adomain decomposition method. The solution of types ZK(2,2,2) and ZK(3,3,3) are presented in many examples to show the ability and efficiency of the method for ZK-equation. The solution is calculated in the form of convergent power series with easily computable components.
Cited by 1
Gülsüm Erva Baş, Y. S. Özkan · Rendiconti Lincei SCIENZE FISICHE E NATURALI · 2026
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