Construction of different wave structures, stability analysis and modulation instability of the coupled nonlinear Drinfel’d–Sokolov–Wilson model

Kalim U. Tariq, Abdul-Majid Wazwaz and Rizwan Javed

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

Abstract: In this study, the coupled nonlinear (1＋1)-dimensional Drinfel’d–Sokolov–Wilson (DSW) equation in dispersive water waves is investigated. The proposed structure is very important nonlinear evolution model in mathematical physics and engineering, which is used to describe nonlinear surface gravity wave propagating over horizontal sea bed. By using three analytical approaches namely, the new extended hyperbolic function method, the modified extended tan hyperbolic function method and the new (G′G2)-expansion method, some new traveling wave solutions for the suggested nonlinear model are derived. As a result, a variety of multi soliton solutions structures in the form of dark, multi-bell shaped, singular bell shaped, trigonometric, hyperbolic and rational functions are obtained via proposed methods. By choosing appropriate set of parameters, the 3D, contour and 2D plots for some solutions are also demonstrated to visualize their nature in an efficient way. The modulation instability and stability analysis for the observed solutions are also addressed. The results obtained demonstrate the effectiveness, conciseness, and efficiency of the applied integration techniques, which may be applied to investigate more complex models arising in contemporary science and engineering.

Keywords: The coupled nonlinear model; Analytical schemes; Traveling waves structures; Stability analysis; Modulation instability analysis (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010827

DOI: 10.1016/j.chaos.2022.112903

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