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

• Published in: Mathematics (Basel) Vol. 11; no. 19; p. 4030
• Main Authors: Kaplan, Melike, Alqahtani, Rubayyi T., Alharthi, Nadiyah Hussain
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.10.2023
• Subjects: (1 + 1)-dimensional SRLW equation; Analysis; Differential equations; exact solutions; Graphical representations; Mathematical models; Mathematical programming; Nonlinear differential equations; Oceanography; Ordinary differential equations; Ostrovsky equation; Partial differential equations; Propagation; Rational functions; Software; Solitary waves; Stability analysis; Surface waves; symbolic computation; Wave equations; Wave propagation
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math11194030

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.