Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics
The present work aims to investigate solitary wave solutions for two recently developed extended equations in the context of (2+1)-dimensional and (3+1)-dimensional structures. The equations under consideration are of the Korteweg–de Vries (KdV) type, which are well-recognized as significant aspects...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724000512 |
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| author | Ahmed H. Arnous Mir Sajjad Hashemi Kottakkaran Sooppy Nisar Muhammad Shakeel Jamshad Ahmad Imtiaz Ahmad Rashid Jan Amjad Ali Mamta Kapoor Nehad Ali Shah |
| author_facet | Ahmed H. Arnous Mir Sajjad Hashemi Kottakkaran Sooppy Nisar Muhammad Shakeel Jamshad Ahmad Imtiaz Ahmad Rashid Jan Amjad Ali Mamta Kapoor Nehad Ali Shah |
| author_sort | Ahmed H. Arnous |
| collection | DOAJ |
| description | The present work aims to investigate solitary wave solutions for two recently developed extended equations in the context of (2+1)-dimensional and (3+1)-dimensional structures. The equations under consideration are of the Korteweg–de Vries (KdV) type, which are well-recognized as significant aspects of fluid dynamics. These equations have broad applications in physics, mathematics, and other scientific disciplines, particularly in the study of waves, soliton theory, plasma physics, biology and chemistry, and nonlinear phenomena. Its soliton solutions and integrability properties make it a fundamental model in various areas of research. This serves as the main motivation for our research work. To analyze these equations, we employ an advanced direct algebraic equation method capable of generating several sorts of solutions, including solitary and shock wave solutions, as well as their combination. In addition to these wave phenomena, singular solitons and solutions expressed in Jacobi and Weierstrass doubly periodic types have also been observed. The utilization of this outstanding technique and the subsequent acquisition of novel solutions demonstrate the originality of our study. This also allows further exploration of nonlinear models that accurately depict significant physical processes in our everyday existence. |
| first_indexed | 2024-03-08T00:50:16Z |
| format | Article |
| id | doaj.art-b8d7ce229e2a45fc9f1033bd1c257c52 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-08T00:50:16Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-b8d7ce229e2a45fc9f1033bd1c257c522024-02-15T05:23:47ZengElsevierResults in Physics2211-37972024-02-0157107369Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamicsAhmed H. Arnous0Mir Sajjad Hashemi1Kottakkaran Sooppy Nisar2Muhammad Shakeel3Jamshad Ahmad4Imtiaz Ahmad5Rashid Jan6Amjad Ali7Mamta Kapoor8Nehad Ali Shah9Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy-11837, Cairo, EgyptDepartment of Mathematics, Basic Science Faculty, University of Bonab, Bonab, IranDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi ArabiaDepartment of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt 47040, PakistanDepartment of Mathematics, University of Gujrat, Gujrat 50700, PakistanInstitute of informatics and computing in Energy, Uniersiti Tenaga Nasional, MalaysiaInstitute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, MalaysiaCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanDepartment of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411, IndiaDepartment of Mathematics, Saveetha School of Engineering, SIMATS, Chennai 602105, Tamilnadu, India; Corresponding author.The present work aims to investigate solitary wave solutions for two recently developed extended equations in the context of (2+1)-dimensional and (3+1)-dimensional structures. The equations under consideration are of the Korteweg–de Vries (KdV) type, which are well-recognized as significant aspects of fluid dynamics. These equations have broad applications in physics, mathematics, and other scientific disciplines, particularly in the study of waves, soliton theory, plasma physics, biology and chemistry, and nonlinear phenomena. Its soliton solutions and integrability properties make it a fundamental model in various areas of research. This serves as the main motivation for our research work. To analyze these equations, we employ an advanced direct algebraic equation method capable of generating several sorts of solutions, including solitary and shock wave solutions, as well as their combination. In addition to these wave phenomena, singular solitons and solutions expressed in Jacobi and Weierstrass doubly periodic types have also been observed. The utilization of this outstanding technique and the subsequent acquisition of novel solutions demonstrate the originality of our study. This also allows further exploration of nonlinear models that accurately depict significant physical processes in our everyday existence.http://www.sciencedirect.com/science/article/pii/S2211379724000512Sakovich equationEnhanced direct algebraic methodSolitary wavesSolitonsFluid dynamics |
| spellingShingle | Ahmed H. Arnous Mir Sajjad Hashemi Kottakkaran Sooppy Nisar Muhammad Shakeel Jamshad Ahmad Imtiaz Ahmad Rashid Jan Amjad Ali Mamta Kapoor Nehad Ali Shah Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics Results in Physics Sakovich equation Enhanced direct algebraic method Solitary waves Solitons Fluid dynamics |
| title | Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics |
| title_full | Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics |
| title_fullStr | Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics |
| title_full_unstemmed | Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics |
| title_short | Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics |
| title_sort | investigating solitary wave solutions with enhanced algebraic method for new extended sakovich equations in fluid dynamics |
| topic | Sakovich equation Enhanced direct algebraic method Solitary waves Solitons Fluid dynamics |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724000512 |
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