Elliptic solutions for a family of fifth order nonlinear evolution equations

TL;DR

This paper investigates a family of fifth order nonlinear evolution equations, deriving and classifying traveling wave elliptic solutions to enhance understanding of their exact solutions.

Contribution

It provides a classification of elliptic solutions for a specific family of fifth order nonlinear evolution equations, expanding the set of known exact solutions.

Findings

Derived explicit elliptic solutions for the equations

Classified the solutions into different types

Enhanced understanding of solution structures for fifth order equations

Abstract

The family of fifth order nonlinear evolution equations is studied. Some traveling wave elliptic solutions are found. The classification of these exact solutions is given.