New Approach of (<em>G\'/G</em>)-expansion Method for RLW Equation

Abstract

Abstract:In this study, new extension of the (G'/G)-expansion method with nonlinear ODE has been introduced to investigate the generalized regularized long wave equation. Therefore, many new travelling wave solutions with many parameters are generated. The obtained solutions are more general and solutions include the solutions, the hyperbolic function, the trigonometric function and the rational forms. In addition, some of our solutions are identical with already published results, which validate newly generated solutions and others solutions have not been reported in the previous literature.

Closed form Solutions of New Fifth Order Nonlinear Equation and New Generalized Fifth Order Nonlinear Equation via the Enhanced (G'/G)-expansion Method

“…G G expansion ′ − method [32][33][34][35][36], the enhanced ( / ) G G expansion ′ − method [37,38], the improve…”