Solutions for KMM System and Generalized Hyperelastic-Rod Wave Equation

Abstract

In this study, the Kraenkel-Manna-Merle (KMM) system and generalized hyperelastic-rod wave equation have been investigated. For this, generalized Kudryashov method (GKM), which is one of the solution methods of nonlinear evolution equations (NLEEs), has been implemented to KMM system and generalized hyperelastic-rod wave equation. Some solutions have been found for the considered equations and visualized in two and three dimensions using Wolfram Mathematica 12.