Analytical and semi analytical solutions of the internal waves of deep-stratified fluids | Zendy

Mostafa M. A. Khater | Zendy; Raghda A. M. Attia | Zendy; S.K. Elagan | Zendy; Fatma Bayones | Zendy

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Analytical 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

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.

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