Investigating the tangent dispersive solitary wave solutions to the Equal Width and Regularized Long Wave equations

Abstract

In this paper, we analytically construct certain dispersive solitary wave solutions to the Equal Width (EW) and Regularized Long Wave (RLW) equations using the Modified Extended Tanh Expansion Method. The study also analyze the effect of Ux being the major difference between the two equations after restricting METEM to only tangent function solutions for one-to-one comparison. The Mathematica software is used for the computations as well as the graphical illustrations, respectively.