Elliptic solutions for a family of fifth order nonlinear evolution equations
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov

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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems
