Numerical Analysis of Fractional-Order Camassa–Holm and Degasperis–Procesi Models

This study proposes innovative methods for the time-fractional modified Degasperis–Procesi (mDP) and Camassa–Holm (mCH) models of solitary wave solutions. To formulate concepts homotopy perturbation transform method (HPTM) Elzaki decomposition (ETDM), we mix (ET), (HPM), Adomian (ADM). The Caputo sense is applied to this work. solutions a few numerical examples are shown integer fractional orders issues. derived precise compared using two-dimensional three-dimensional plots solutions, confirming suggested method’s improved accuracy. Tables created each problem display approach’s results, absolute error. These provide iterations as series show proposed techniques’ efficiency, compute It evident from estimated values that approaches simple they can therefore be further extended linear nonlinear