Analytical Investigation of Fractional-Order Korteweg–De-Vries-Type Equations under Atangana–Baleanu–Caputo Operator: Modeling Nonlinear Waves in a Plasma and Fluid

This article applies the homotopy perturbation transform technique to analyze fractional-order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations. method combines Zain Ul Abadin Zafar-transform (ZZ-T) and (HPT) show validation efficiency of this investigate three examples. It is also shown that fractional integer-order solutions have closed contact with exact result. The suggested found be reliable, efficient, straightforward use for many related models engineering several branches science, such as modeling waves in different plasma models.