Research PaperNo Access

Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

E-mail Address: wael.mohammed@mans.edu.eg

Corresponding author.

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Naveed Iqbal

https://orcid.org/0000-0002-8548-7078

Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

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Rabeb Sidaoui

https://orcid.org/0000-0001-5965-6619

Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

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, and

Ekram E. Ali

https://orcid.org/0000-0002-5477-0065

Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

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https://doi.org/10.1142/S0217984924504347Cited by:3 (Source: Crossref)

Abstract

The nonlinear Kadoma equation with M-truncated derivatives (NLKE-MTD) is taken into consideration here. By using generalized Riccati equation method (GRE method) and Jacobi elliptic function method, new hyperbolic, rational, trigonometric and elliptic solutions are discovered. Because the NLKE is widely employed in optics, fluid dynamics and plasma physics, the resulting solutions may be used to analyze a wide variety of important physical phenomena. The dynamic behaviors of the different derived solutions are interpreted using 3D and 2D graphs to explain the effects of M-truncated derivatives. We may conclude that the surface moves to the right as the order of M-truncated derivatives increases.

Keywords:

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