On the Modified Laplace Homotopy Perturbation Method for Solving Damped Modified Kawahara Equation and Its Application in a Fluid

The manuscript solves a modified Kawahara equation (mKE) within two cases with and without damping term by applying the Laplace homotopy perturbation method (LHPM). Since damped mKE is non-integrable (i.e., it does not have analytic integrals) exact initial conditions, this challenge makes many numerical methods fail to solve equations. In article, we suggested new modification at LHPM setting parameter an embedding as using condition for non-damped mKE. results proved that mathematical approach effective solving Thus, believe presented will be helpful equations describe phenomena in sciences, such nonlinear symmetrical wave propagation plasma.