A Computational Scheme for the Numerical Results of Time-Fractional Degasperis–Procesi and Camassa–Holm Models

This article presents an idea of a new approach for the solitary wave solution modified Degasperis–Procesi (mDP) and Camassa–Holm (mCH) models with time-fractional derivative. We combine Laplace transform (LT) homotopy perturbation method (HPM) to formulate (LHPTM). study is considered under Caputo sense. proposed strategy does not depend on any assumption restriction variables, such as in classical method. Some numerical examples are demonstrated their results compared graphically 2D 3D distribution. iterations form series solutions. also compute absolute error show effective performance this scheme.