A generalized $(G'/G)$-expansion method for the loaded modified Korteweg-de Vries equation

TL;DR

This paper introduces a generalized $(G'/G)$-expansion method to find solutions for the loaded modified Korteweg-de Vries equation, enhancing analytical solution techniques for nonlinear differential equations.

Contribution

It develops a generalized $(G'/G)$-expansion method specifically tailored for the loaded modified Korteweg-de Vries equation, expanding the toolkit for solving nonlinear PDEs.

Findings

Successfully derives new solutions for the loaded mKdV equation.

Demonstrates the effectiveness of the generalized $(G'/G)$-expansion method.

Provides a framework applicable to other nonlinear equations.

Abstract

This paper is dedicated to finding the solutions of the equation of the loaded modified Korteweg-de Vries. By the way, it is shown to find the solutions via $(G'/G)$-expansion method that is one of the most effective ways of finding solutions.