Numerical inspection of (3 + 1)- perturbed Zakharov–Kuznetsov equation via fractional variational iteration method with Caputo fractional derivative

Abstract

In this paper, the implementation of the Fractional Variational iteration method (FVIM) is used to approximate the generalized fractional perturbed Zakharove-Kuznetsov equation. The obtained results show that the suggested approach is very efficient for dealing with various forms of differential equations of fractional order. The numerical comparison for the attained resolution is made through the q-homotopy analysis transmute manner (q-HATM) which confirms the convergence of the devised method. The applicability of the method is observed by applying the proposed technique to two numerical examples. Furthermore, the solutions obtained by the FVIM are completely well-matched with the solutions presented in the literature.

Keywords:

• Caputo fractional derivative
• fractional order generalized perturbed Zakharov–Kuznetsov (ZK) equation
• fractional variational iteration method
• imaginary part solution
• numerical simulation
• real part solution

Disclosure statement

No potential conflict of interest was reported by the author(s).