THERMAL SCIENCE

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Zhi-Yong Fan

NEW SOLITON SOLUTIONS FOR THE LOCAL FRACTIONAL VAKHNENKO-PARKES EQUATION

ABSTRACT
In this paper, we mainly consider the local fractional Vakhnenko-Parkes equation with the local fractional derivative for the first time. Some new soliton solutions of local fractional Vakhnenko-Parkes equation are derived by using local fractional wave method. These obtained soliton solutions suggest that this proposed approach is effective, simple and reliable. Finally, the physical characteristics of these new soliton solutions are described through 3-D figures.
KEYWORDS
local fractional derivative, local fractional wave method local fractional Vakhnenko-Parkes equation
PAPER SUBMITTED: 2023-03-11
PAPER REVISED: 2023-05-13
PAPER ACCEPTED: 2023-06-10
PUBLISHED ONLINE: 2023-11-05
DOI REFERENCE: https://doi.org/10.2298/TSCI2305877F
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 5, PAGES [3877 - 3882]
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New soliton solutions for the local fractional Vakhnenko-Parkes equation

© 2024 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