THERMAL SCIENCE

International Scientific Journal

Fen Wang

EXACT TRAVELING WAVE SOLUTION OF DULLIN-GOTTWALD-HOLM EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE

ABSTRACT
The present study focuses on the Dullin-Gottwald-Holm equation, which incorporates a conformable fractional derivative. Employing the two-scale transform and traveling wave transformation, along with the integration of hyperbolic functions and Jacobi elliptic functions, a comprehensive and systematic investigation is conducted. Consequently, the precise traveling wave solutions of this equation have been derived. A thorough discussion is presented on the impacts of various parameters on the properties of the solutions. Furthermore, the approach employed in this paper demonstrates considerable promise in addressing a broader range of non-linear fractional differential equations. It is anticipated that this will pioneer novel concepts and methods in related research areas.
KEYWORDS
Dullin-Gottwald-Holm equation, Conformable fractional derivative, exact travelling wave solutions
PAPER SUBMITTED: 2023-01-22
PAPER REVISED: 2025-03-24
PAPER ACCEPTED: 2025-05-21
PUBLISHED ONLINE: 2026-04-12
DOI REFERENCE: https://doi.org/10.2298/TSCI2602847W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2026, VOLUME 30, ISSUE No. 2, PAGES [847 - 853]
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Exact traveling wave solution of Dullin-Gottwald-Holm equation with conformable fractional derivative

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence