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

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.