A Novel Analysis of Generalized Perturbed Zakharov–Kuznetsov Equation of Fractional-Order Arising in Dusty Plasma by Natural Transform Decomposition Method

The natural transform decomposition method (NTDM) is a relatively new transformation for finding an approximate differential equation solution. In the current study, NTDM has been used obtaining solution of fractional-order generalized perturbed Zakharov–Kuznetsov (GPZK) equation. tested three nonlinear cases GPZK absolute errors are analyzed by proposed and q-homotopy analysis (q-HATM). 3D 2D graphs have shown method’s accuracy effectiveness. gives much-closed after few terms.