SOLITON SOLUTIONS AND DYNAMICAL PROPERTIES OF THE (4 + 1)-DIMENSIONAL FOKAS EQUATION WITH STABILITY ANALYSIS

Mohammad Safi Ullah, M. Zulfikar Ali () and Harun-Or Roshid ()
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Mohammad Safi Ullah: Department of Mathematics, Comilla University, Cumilla 3506, Bangladesh
M. Zulfikar Ali: Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh
Harun-Or Roshid: Department of Mathematics, Sunamgonj Science and Technology University, Sunamganj 3000, Bangladesh

FRACTALS (fractals), 2025, vol. 33, issue 09, 1-13

Abstract: This study presents the φ6-model expansion strategy to the (4 + 1)-dimensional Fokas model, arising in plasma physics, fluid mechanics, coastal engineering, and shallow-water waves. The partial differential form of the model is transformed into an ordinary differential form by applying a variable relation. The resulting model is then analyzed using the mentioned techniques via computational software. Novel dynamical optical solitons are obtained by combining solutions for rational, hyperbolic, and trigonometric forms. Additionally, a qualitative analysis of the governing model is conducted through a planar dynamical process. Bifurcation, chaotic behavior, and stability analysis are also examined. We may conclude from the study’s results that the method used is beneficial, advantageous, calming, and appropriate for dealing with diverse nonlinear models.

Keywords: Fokas Equation; Equilibrium Point; φ6-Model Expansion Method; Lyapunov Exponent (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500720

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