Extended Jacobi Elliptic Function Technique: A Tool for Solving Nonlinear Wave Equations with emblematic Software

Abstract

The Extended Jacobi Elliptic Function Technique (EJET) is a powerful technique for finding the solutions for traveling waves form coming from Non-Linear Waveguides (NLWs). As a result, solitary and shock-wave profiles are obtained simultaneously with corresponding amplitudes and speeds by this method for three types of nonlinear wave equations. A class of nonlinear wave equations of particular interest in mathematical physics have been used to investigate the legality and credibility of this technique. A short script is considered a symbolic software package that calculates traveling wave solutions in exact form.