Deriving Novel Wave Solutions to the (2+1)fractional Paraxial Wave Dynamical Equation with Kerr Law Using the (G′/G2)-Expansion Function Technique

Articles in Press

Document Type : Research Paper

Authors

1 Faculty of Engineering, MTI university, Cario, Egypt.

2 Basic Sciences Department, Faculty of Engineering, Badr University in Cairo, Cairo 11829, Egypt.

3 Department of Electrical Engineering, College of Engineering, Prince Sattam bin Abdulaziz University, Al Kharj 16278, Saudi Arabia.

4 Department of Basic Engineering Sciences, Faculty of Engineering Benha, Benha university, Egypt.

Abstract

The (G′/G2)-expansion function method is a mathematical technique used
to find exact solutions to certain types of differential equations, in this case,
the ParaxialWave Dynamical Equation with Kerr law (PWDE) in the sense of
the truncated M-fractional derivative. This equation is important in the study
of wave propagation and optical phenomena. By employing this method, the
researchers were able to obtain new, previously unknown exact solutions to
this equation. These solutions represent different types of wave solutions, each
with their own unique characteristics and properties.The significance of these
novel wave solutions lies in their potential applications in physics and engineering.
Wave phenomena play a crucial role in various fields, such as optics,
photonics, and electromagnetics. The researchers indicate that these specific
wave solutions have important practical applications in these domains. Moreover,
We provide visual representations of the obtained solutions in the form of
3D, contour, and 2D plots. These graphical illustrations serve to demonstrate
the feasibility and reliability of our proposed technique, showcasing their ability
to capture the essential characteristics and behaviors of the solutions.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 24 June 2025

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History

  • Receive Date: 01 November 2024
  • Revise Date: 27 March 2025
  • Accept Date: 15 June 2025

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