Unraveling the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation: Exploring soliton solutions via multiple techniques

Hamood Ur Rehman; Ghada S. Said; Aamna Amer; Hameed Ashraf; M.M. Tharwat; Mahmoud Abdel-Aty; Nasser S. Elazab; M.S. Osman

Alexandria Engineering Journal (Mar 2024)

Unraveling the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation: Exploring soliton solutions via multiple techniques

Hamood Ur Rehman,
Ghada S. Said,
Aamna Amer,
Hameed Ashraf,
M.M. Tharwat,
Mahmoud Abdel-Aty,
Nasser S. Elazab,
M.S. Osman

Affiliations

Hamood Ur Rehman: Department of Mathematics, University of Okara, Okara, Pakistan
Ghada S. Said: Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
Aamna Amer: Department of Mathematics, University of Okara, Okara, Pakistan
Hameed Ashraf: Department of Mathematics, University of Okara, Okara, Pakistan
M.M. Tharwat: Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
Mahmoud Abdel-Aty: Department of Computer Science and Information Engineering, Chung Hua University, 707, WuFu Rd., Hsinchu, 30012, Taiwan, ROC; Deanship of Graduate Studies and Research, Ahlia University, P.O. Box 10878, Manama, Kingdom of Bahrain; Mathematics Department, Faculty of Science, Sohag University, P.O. Box 82524, Sohag, Egypt; Corresponding author at: Department of Computer Science and Information Engineering, Chung Hua University, 707, WuFu Rd., Hsinchu, 30012, Taiwan, ROC.
Nasser S. Elazab: Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
M.S. Osman: Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; Mathematics Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia; Corresponding author at: Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.

Journal volume & issue: Vol. 90
pp. 17 – 23

Abstract

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The (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is explored in the present work, revealing its complex dynamics and solitary wave solutions. Modeling ocean and tidal waves, particularly tsunami and long water waves, depends significantly on this nonlinear equation. Additionally, these models can be used to simulate internal and external waves in rivers and oceans as well as wave packets in water with a finite depth. The Sardar subequation method, new Kudryashov's method, and (1ϑ(ζ),ϑ′(ζ)ϑ(ζ)) method are investigated to discover novel solitary wave solutions in the terms of hyperbolic, trigonometric and rational functions. A wide variety of solitons, as dark, bright, periodic, singular, combined dark-singular solitons and, combined dark-bright are obtained by these techniques. By taking accurate parameter values, certain three-dimensional and two-dimensional graphs are plotted to improve the physical description of solutions. The intriguing field of nonlinear waves and dynamic systems is signaled to readers by this work, which suggests a major advancement in understanding the intricate and unexpected behavior of this model.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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