Faster and Slower Soliton Phase Shift: Oceanic Waves Affected by Earth Rotation

Mostafa M. A. Khater and Aliaa Mahfooz Alabdali
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Mostafa M. A. Khater: Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Aliaa Mahfooz Alabdali: Faculty of Computing & Information Technology, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia

Mathematics, 2021, vol. 9, issue 24, 1-19

Abstract: This research paper investigates the accuracy of a novel computational scheme (Khater II method) by applying this new technique to the fractional nonlinear Ostrovsky (FNO) equation. The accuracy of the obtained solutions was verified by employing the Adomian decomposition (AD) and El Kalla (EK) methods. The AD and EK methods are considered as two of the most accurate semi-analytical schemes. The FNO model is a modified version of the well-known Korteweg–de Vries (KdV) equation that considers the effects of rotational symmetry in space. However, in the KdV model, solutions to the KdV equations substitute this effect with radiating inertia gravity waves, and thus this impact is ignored. The analytical, semi-analytical, and accuracy between solutions are represented in some distinct plots. Additionally, the paper’s novelty and its contributions are demonstrated by comparing the obtained solutions with previously published results.

Keywords: fractional nonlinear Ostrovsky equation; novel computational technique; computational and semi-analytical solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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