Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation
The (3+1)-dimensional generalized Boiti-Leon-Manna-Pempinelli equation, which describes the evolution of Riemann wave propagation in an in-compressible fluid along three mutually perpendicular axes, is investigated in this research article. The study encompasses the analysis of Lie symmetries, corre...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-10-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682300755X |
| _version_ | 1827798958173323264 |
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| author | Beenish Harun Kurkcu Muhammad Bilal Riaz Mudassar Imran Adil Jhangeer |
| author_facet | Beenish Harun Kurkcu Muhammad Bilal Riaz Mudassar Imran Adil Jhangeer |
| author_sort | Beenish |
| collection | DOAJ |
| description | The (3+1)-dimensional generalized Boiti-Leon-Manna-Pempinelli equation, which describes the evolution of Riemann wave propagation in an in-compressible fluid along three mutually perpendicular axes, is investigated in this research article. The study encompasses the analysis of Lie symmetries, corresponding symmetry reductions, and conservation laws associated with the equation. The Lie symmetry method is employed to determine the infinitesimal generators of the considered equation. Furthermore, commutator table is generated, and symmetry groups corresponding to each infinitesimal generator are derived. By utilizing the similarity reduction technique, the original nonlinear partial differential equation is transformed into nonlinear ordinary differential equations. Then, generalized exp(−ϕ(ζ)) expansion technique is utilized to solve the reduced equations and estimate specific traveling wave solutions for the equation. Moreover, graphical representations are employed to illustrate the traveling wave solutions, employing suitable parameter values. Additionally, the multiplier approach is utilized to calculate conserved vectors for the equation under consideration. |
| first_indexed | 2024-03-11T19:43:21Z |
| format | Article |
| id | doaj.art-58898be166db455f8edbc5a32026a028 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-11T19:43:21Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-58898be166db455f8edbc5a32026a0282023-10-06T04:44:02ZengElsevierAlexandria Engineering Journal1110-01682023-10-0180475486Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation Beenish0Harun Kurkcu1Muhammad Bilal Riaz2Mudassar Imran3Adil Jhangeer4Department of Mathematics, 45320, Quaid-I-Azam University, PakistanDepartment of Mathematics and Natural Sciences, Gulf University for Science and Technology, KuwaitFaculty of Applied physics and Mathematics, Gdansk University of technology, Poland; Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon; Department of Mathematics, University of Management and Technology, 54770 Lahore, Pakistan; Corresponding author.Ajman University, Ajman, United Arab EmiratesDepartment of Mathematics, Namal University, 30 Km Talagang Road, Mianwali 42250, PakistanThe (3+1)-dimensional generalized Boiti-Leon-Manna-Pempinelli equation, which describes the evolution of Riemann wave propagation in an in-compressible fluid along three mutually perpendicular axes, is investigated in this research article. The study encompasses the analysis of Lie symmetries, corresponding symmetry reductions, and conservation laws associated with the equation. The Lie symmetry method is employed to determine the infinitesimal generators of the considered equation. Furthermore, commutator table is generated, and symmetry groups corresponding to each infinitesimal generator are derived. By utilizing the similarity reduction technique, the original nonlinear partial differential equation is transformed into nonlinear ordinary differential equations. Then, generalized exp(−ϕ(ζ)) expansion technique is utilized to solve the reduced equations and estimate specific traveling wave solutions for the equation. Moreover, graphical representations are employed to illustrate the traveling wave solutions, employing suitable parameter values. Additionally, the multiplier approach is utilized to calculate conserved vectors for the equation under consideration.http://www.sciencedirect.com/science/article/pii/S111001682300755XInfinitesimal generatorsSymmetry reductionsGEE methodConservation laws |
| spellingShingle | Beenish Harun Kurkcu Muhammad Bilal Riaz Mudassar Imran Adil Jhangeer Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation Alexandria Engineering Journal Infinitesimal generators Symmetry reductions GEE method Conservation laws |
| title | Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation |
| title_full | Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation |
| title_fullStr | Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation |
| title_full_unstemmed | Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation |
| title_short | Lie analysis and nonlinear propagating waves of the (3 + 1)-dimensional generalized Boiti–Leon–Manna–Pempinelli equation |
| title_sort | lie analysis and nonlinear propagating waves of the 3 1 dimensional generalized boiti leon manna pempinelli equation |
| topic | Infinitesimal generators Symmetry reductions GEE method Conservation laws |
| url | http://www.sciencedirect.com/science/article/pii/S111001682300755X |
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