THERMAL SCIENCE

International Scientific Journal

Mostafa M. A. KhaterORCID

,

Raghda A. M. AttiaORCID

,

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

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