A Semianalytical Approach for the Solution of Nonlinear Modified Camassa–Holm Equation with Fractional Order

This paper presents the approximate solution of nonlinear acoustic wave propagation model is known as modified Camassa–Holm (mCH) equation with Caputo fractional derivative. We examine this study utilizing Laplace transform ( ℒ T) coupled homotopy perturbation method (HPM) to construct strategy id="M2"> T-HPM). Since suitable only for a linear differential equation, therefore id="M3"> T-HPM approach decompose problems. scheme produces an iterative formula finding illustrated problems that leads convergent series without any small and restriction. Graphical results demonstrate id="M4"> simple, straightforward, other order in science engineering.