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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Elsevier B.V.
2025
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| author | Arnous A.H. Hashemi M.S. Nisar K.S. Shakeel M. Ahmad J. Ahmad I. Jan R. Ali A. Kapoor M. Shah N.A. |
| author2 | 57195299458 |
| author_facet | 57195299458 Arnous A.H. Hashemi M.S. Nisar K.S. Shakeel M. Ahmad J. Ahmad I. Jan R. Ali A. Kapoor M. Shah N.A. |
| author_sort | Arnous A.H. |
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| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| 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. ? 2024 The Author(s) |
| format | Article |
| id | my.uniten.dspace-36849 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Elsevier B.V. |
| record_format | dspace |
| spelling | my.uniten.dspace-368492025-03-03T15:45:10Z Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics Arnous A.H. Hashemi M.S. Nisar K.S. Shakeel M. Ahmad J. Ahmad I. Jan R. Ali A. Kapoor M. Shah N.A. 57195299458 56382731500 56715663200 57188696029 55878156300 57220824630 57205596279 57211194366 57217137263 57189583495 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. ? 2024 The Author(s) Final 2025-03-03T07:45:10Z 2025-03-03T07:45:10Z 2024 Article 10.1016/j.rinp.2024.107369 2-s2.0-85183301865 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183301865&doi=10.1016%2fj.rinp.2024.107369&partnerID=40&md5=8895333605c219d13c1ca6f1779c29c2 https://irepository.uniten.edu.my/handle/123456789/36849 57 107369 All Open Access; Gold Open Access Elsevier B.V. Scopus |
| spellingShingle | Arnous A.H. Hashemi M.S. Nisar K.S. Shakeel M. Ahmad J. Ahmad I. Jan R. Ali A. Kapoor M. Shah N.A. Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in 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 |
| url_provider | http://dspace.uniten.edu.my/ |