Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

TL;DR

This paper demonstrates the effectiveness of the Kudryashov method in deriving exact solitary wave solutions for high order nonlinear evolution equations of fifth to seventh order.

Contribution

It applies the Kudryashov method to high order nonlinear evolution equations, producing new exact solutions and showcasing the method's efficiency.

Findings

Derived solitary wave solutions for fifth, sixth, and seventh order equations.

Confirmed the Kudryashov method's efficiency in solving complex high order equations.

Validated solutions through analytical methods.

Abstract

The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstrated.