New exact solutions of nonlinear variants of the RLW, the PHI-four and Boussinesq equations based on modified extended direct algebraic method

TL;DR

This paper introduces a modified extended direct algebraic method (MEDA) to find multiple exact complex solutions for nonlinear PDEs, including variants of RLW, PHI-four, and Boussinesq equations, implemented via computer algebra systems.

Contribution

It presents a novel application of MEDA to derive new exact solutions for several nonlinear PDE variants, expanding solution methods in the field.

Findings

Derived new complex solutions for RLW, PHI-four, and Boussinesq equations.

Demonstrated the effectiveness of MEDA in solving nonlinear PDEs.

Implemented solutions in a computer algebra system.

Abstract

By means of modified extended direct algebraic method (MEDA) the multiple exact complex solutions of some different kinds of nonlinear partial differential equations are presented and implemented in a computer algebraic system. New complex solutions for nonlinear equations such as the variant of the RLW equation, the variant of the PHI-four equation and the variant Boussinesq equations are obtained.