International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 11, Issue 8 (August 2024), Pages: 89-97

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 Original Research Paper

Exact solutions of the nonlinear space-time fractional Schamel equation

 Author(s): 

 Elzain A. E. Gumma 1, *, Abaker A. Hassaballa 1, Fathea M. O. Birkea 1, Ahmed M. A. Adam 1, Ali Satty 1, Emad A. B. Abdel-Salam 2, Eltayeb A. Yousif 3, Mohamed I. Nouh 4

 Affiliation(s):

 1Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia
 2Department of Mathematics, Faculty of Science, New Valley University, Elkharga, Egypt
 3Department of Applied Mathematics, Faculty of Mathematical Sciences and Informatics, University of Khartoum, Khartoum, Sudan
 4Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt

 Full text

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0009-0003-3241-1250

 Digital Object Identifier (DOI)

 https://doi.org/10.21833/ijaas.2024.08.010

 Abstract

This study focuses on the nonlinear space-time behavior of a plasma system made up of electrons, positive ions, and negative ions using the fractional Schamel (FS) equation. The main goal is to find exact solutions to the nonlinear FS equation by applying the extended hyperbolic function (EHF) method. The study examines how the fractional order affects the phase velocity, amplitude, and wave width of solitary wave solutions. Different exact solutions were found based on various values of the fractional order. Graphical representations are included to show the physical properties of these solutions. Overall, the results demonstrate that the EHF method is effective and reliable for finding exact solutions to the nonlinear FS equation.

 © 2024 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords

 Nonlinear space-time dynamics, Plasma system, Fractional Schamel equation, Extended hyperbolic function method, Solitary wave solutions

 Article history

 Received 30 March 2024, Received in revised form 28 July 2024, Accepted 1 August 2024

 Acknowledgment 

The authors gratefully acknowledge the support given for this research study by grant no. SCIA-2022-11-1731 from the Deanship of Scientific Research at Northern Border University, Arar, Saudi Arabia.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Gumma EAE, Hassaballa AA, Birkea FMO, Adam AMA, Satty A, Abdel-Salam EAB, Yousif EA, and Nouh MI (2024). Exact solutions of the nonlinear space-time fractional Schamel equation. International Journal of Advanced and Applied Sciences, 11(8): 89-97

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 

 Tables

 No Table

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