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Article 2025 · 5 citations

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

Bulut, Hasan, Demirbilek, Ulviye, Celik, Ercan

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.

Keywords
Fokas wave equation modified generalized Kudryashov technique paraxial wave equation soliton solutions truncated M-fractional derivative
WoS Categories
Mathematics
Citation
Journal
JOURNAL OF MATHEMATICS
Year
2025
Volume
2025
Issue
1
ISSN
2314-4629
eISSN
2314-4785
DOI
10.1155/jom/6659392
WoS UID
WOS:001566496400001
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