Dynamical Soliton Solutions of (2 + 1)-Dimensional Paraxial Wave and (4 + 1)-Dimensional Fokas Wave Equations With Truncated M-Fractional Derivative Using an Efficient Technique

Hasan Bulut, Ulviye Demirbilek and Ercan Çelik

Journal of Mathematics, 2025, vol. 2025, 1-18

Abstract: The main aim of this paper is to use the modified generalized Kudryashov technique to accurately represent the traveling wave solutions for 2+1-dimensional paraxial and 4+1-dimensional Fokas wave equations with truncated M-fractional derivative. Symbolic computation is utilized to present soliton solutions with different physical properties and specific parameters. Additionally, visual representations such as 3-dimensional, 2-dimensional, contour, and density surfaces are provided for some of the reported data. The effectiveness of the modified generalized Kudryashov approach is demonstrated by the findings presented in this paper.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6659392

DOI: 10.1155/jom/6659392

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