Open AccessAnalytical and semi analytical solutions of the internal waves of deep-stratified fluids
Author(s) -
Mostafa M. A. Khater,
Raghda A. M. Attia,
S. K. Elagan,
Fatma Bayones
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci21s2227k
Subject(s) - adomian decomposition method , internal wave , soliton , physics , boundary value problem , mathematical analysis , decomposition method (queueing theory) , boundary (topology) , mechanics , mathematics , partial differential equation , nonlinear system , discrete mathematics , quantum mechanics
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.