Construction of an Approximate Analytical Solution for Multi-Dimensional Fractional Zakharov–Kuznetsov Equation via Aboodh Adomian Decomposition Method

In this paper, the Aboodh transform is utilized to construct an approximate analytical solution for time-fractional Zakharov–Kuznetsov equation (ZKE) via Adomian decomposition method. context of a uniform magnetic flux, framework illustrates action weakly nonlinear ion acoustic waves in plasma carrying cold ions and hot isothermal electrons. Two compressive rarefactive potentials (density fraction obliqueness) are illustrated. With aid Caputo derivative, essential concepts fractional derivatives mentioned. A powerful research method, known as employed ZKEs with success. The refinement Laplace transform. This scheme also includes uniqueness convergence analysis. projected method demonstrated series components that converge actual assigned task. addition, findings procedure have established strong ties exact solutions problems under investigation. reliability present by illustrative examples. appealing, simplistic methodology indicates it could be straightforwardly protracted solve various fractional-order partial differential equations.