Applying the natural transform iterative technique for fractional high-dimension equations of acoustic waves

In the present study, natural transform iterative method (NTIM) has been implemented for solution of a fractional Zakharavo–Kuznetsov (FZK) equation. NTIM is relatively new technique handling non-linear differential equations. The tested upon two FZK equalities. proposed compared with existing perturbation–iteration algorithm (PIA) and residual power series (RPSM). From numerical results, it clear that handles equations very suitably provides results in closed accord accurate solution. As result, approach regarded as one finest analytical techniques solving fractional-order linear problems.