Author(s)

Hany N. Hassan

Department of Basic Engineering Sciences, Benha Faculty of Engineering, Benha University, Benha, Egypt.

In this study, the numerical solution for the Modified Equal Width Wave (MEW) equation is presented using Fourier spectral method that use to discretize the space variable and Leap-frog method scheme for time dependence. Test problems including the single soliton wave motion, interaction of two solitary waves and interaction of three solitary waves will use to validate the proposed method. The three invariants of the motion are evaluated to determine the conservation properties of the generated scheme. Finally, a Maxwellian initial condition pulse is then studied. The L₂ and L_∞ error norms are computed to study the accuracy and the simplicity of the presented method.

The Modified Equal Width Wave Equation, Fourier Pseudo-Spectral Method, Solitary Waves, Fast Fourier Transform

Hassan, H. (2016) An Accurate Numerical Solution for the Modified Equal Width Wave Equation Using the Fourier Pseudo-Spectral Method. Journal of Applied Mathematics and Physics, 4, 1054-1067. doi: 10.4236/jamp.2016.46110.