Wave Propagation and Stability Analysis for Ostrovsky and Symmetric Regularized Long-Wave Equations

Melike Kaplan (), Rubayyi T. Alqahtani () and Nadiyah Hussain Alharthi
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Melike Kaplan: Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, 37150 Kastamonu, Turkey
Rubayyi T. Alqahtani: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Nadiyah Hussain Alharthi: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-17

Abstract: This work focuses on the propagation of waves on the water’s surface, which can be described via different mathematical models. Here, we apply the generalized exponential rational function method (GERFM) to several nonlinear models of surface wave propagation to identify their multiple solitary wave structures. We provide stability analysis and graphical representations for the considered models. Additionally, this paper compares the results obtained in this work and existing solutions for the considered models in the literature. The effectiveness and potency of the utilized approach are demonstrated, indicating their applicability to a broad range of nonlinear partial differential equations in physical phenomena.

Keywords: Ostrovsky equation; (1 + 1)-dimensional SRLW equation; exact solutions; symbolic computation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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