A practical approach to solve coupled systems of nonlinear partial differential equations

TL;DR

This paper introduces the tanh method as a practical technique for deriving exact solutions to coupled nonlinear partial differential equations, specifically demonstrated on the coupled MKDV system.

Contribution

The paper presents a novel application of the tanh method to solve coupled systems of nonlinear PDEs, expanding its utility beyond previous single-equation applications.

Findings

Successfully obtained exact solutions for the coupled MKDV system

Demonstrated the method's applicability to various coupled nonlinear PDEs

Provided a practical framework for solving complex coupled systems

Abstract

In this paper we present the tanh method to obtain exact solutions to coupled MkDV system. This method may be applied to a variety of coupled systems of nonlinear ordinary and partial differential equations.