THERMAL SCIENCE

International Scientific Journal

Yong-Ju YangORCID

,

Guo-Li Han

,

Shun-Qin WangORCID

THE HOMOTOPY PERTURBATION METHOD FOR THE DOUBLE PERIOD SOLUTION OF LOCAL FRACTIONAL KORTEWEG-DE VRIES EQUATION

ABSTRACT
The Korteweg-de Vries equation is a fundamental equation for the study of shallow water waves and plays a crucial role in fluid physics and applied mathematics. The objective of this study is to implement the homotopy perturbation method to solve a class of Korteweg-de Vries equations with bi-periodic numerical solutions. The method is predicated on the selection of appropriate iterative operations, thereby ensuring the numerical solution of the equation is obtained in the form of the trigonometric series.
KEYWORDS
Korteweg-de Vries equation, fractional systems, period solution, local fractional derivative, homotopy perturbation method
PAPER SUBMITTED: 2024-12-10
PAPER REVISED: 2025-08-05
PAPER ACCEPTED: 2025-08-05
PUBLISHED ONLINE: 2026-04-12
DOI REFERENCE: https://doi.org/10.2298/TSCI2602869Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2026, VOLUME 30, ISSUE No. 2, PAGES [869 - 878]
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The homotopy perturbation method for the double period solution of local fractional Korteweg-de Vries equation

© 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