Localized and coherent waves’ propagation in a nonlinear dispersive medium: Computational simulations

Abstract

In this research, the Schamel-KdV (SKdV) equation is analytically solved using the Khater II method and improved F-expansion method. Many analytical solutions are obtained and represented through some distinct graphs such as three-, two-dimensional, and polar plots. The novelty of solutions is discussed by comparing these solutions with the recently published results of the investigated model. All obtained solutions have been checked for their accuracy by putting them back into the original model’s nonlinear partial differential equation form.