Numerical Solution of Modified Equal Width Wave Equation

Abstract

Abstract: Homotopy perturbation method is presented to solve the modified equal width equation. This method provides remarkable accuracy in comparison with the analytical solution. Three conservation quantities are reported. Numerical results demonstrate that this method is a promising and powerful tool for solving the modified equal width equation. Key words: Homotopy perturbation method • The Modified Equal Width (MEW) equation • Motion of single solitary wave • Maxwellian initial condition