THERMAL SCIENCE

International Scientific Journal

Mostafa M. A. Khater

,

Raghda A. M. Attia

,

Sayed K. Elagan

,

Fatma S. Bayones

ANALYTICAL AND SEMI ANALYTICAL SOLUTIONS OF THE INTERNAL WAVES OF DEEP-STRATIFIED FLUIDS

ABSTRACT
In this paper, we study the soliton wave of the fractional Benjamin-Ono equation based on the extended simplest equation method. The accuracy of the obtained soliton wave solutions is investigated by comparing the obtained analytical and semi-analytical solutions. The semi-analytical solutions are constructed by applying the Adomian decomposition method. The semi-analytical method is used based on the constructed initial and boundary conditions from the obtained analytical solutions. Both solutions (analytical and semi-analytical) are plotted through different techniques for explaining the internal waves of deep-stratified fluids.
KEYWORDS
fractional Benjamin-Ono equation, conformable derivative, soliton wave, semi-analytical solutions
PAPER SUBMITTED: 2021-03-05
PAPER REVISED: 2021-03-20
PAPER ACCEPTED: 2021-04-17
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2227K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [227 - 232]
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Analytical and semi analytical solutions of the internal waves of deep-stratified fluids

© 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