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Dr. Mohamed Reda Ali Mohamed :: Publications:

Title:
The dynamical study of fractional complex coupled maccari system in nonlinear optics via two analytical approaches
Authors: Haiqa Ehsan a , Muhammad Abbas a,∗ , Magda Abd El-Rahman b , Mohamed R. Ali c,d,∗ , A.S. Hendy e
Year: 2024
Keywords: Fractional complex coupled maccari system Modified auxiliary equation method Riccati–Bernoulli sub-ODE method Beta-derivative M-truncated derivative Conformable derivative
Journal: Results in Physics
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link:
Full paper Mohamed Reda Ali Mohamed _88.pdf
Supplementary materials Not Available
Abstract:

In this work, the modified auxiliary equation method (MAEM) and the Riccati–Bernoulli sub-ODE method (RBM) are used to investigate the soliton solutions of the fractional complex coupled maccari system (FCCMS). Nonlinear partial differential equations (NLPDEs) can be transformed into a collection of algebraic equations by utilizing a travelling wave transformation, the MAEM, and the RBM. As a result, solutions to hyperbolic, trigonometric and rational functions with unconstrained parameters are obtained. The travelling wave solutions can also be used to generate the solitary wave solutions when the parameters are given particular values. There are several solutions that are modelled for different parameter combinations. We have developed a number of novel solutions, such as the kink, periodic, M-waved, W-shaped, bright soliton, dark soliton, and singular soliton solution. We simulate our figures in Mathematica and provide many 2D and 3D graphs to show how the beta derivative, M-truncated derivative and conformable derivative impacts the analytical solutions of the FCCMS.The results show how effectively the MAEM and RBM work together to extract solitons for fractional-order nonlinear evolution equations in science, technology, and engineering.

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