Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order
The newly modified Benjamin-Bona-Mahony equations in three dimensions are examined in the current work through the use of conformable fractional derivatives to incorporate spatial and temporal fractional order derivatives. With the aid of the Wolfram Mathematica software, a variety of solutions, inc...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723004643 |
| _version_ | 1797754997970042880 |
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| author | Muhammad Shakeel Abdul Manan Nasser Bin Turki Nehad Ali Shah Sayed M. Tag |
| author_facet | Muhammad Shakeel Abdul Manan Nasser Bin Turki Nehad Ali Shah Sayed M. Tag |
| author_sort | Muhammad Shakeel |
| collection | DOAJ |
| description | The newly modified Benjamin-Bona-Mahony equations in three dimensions are examined in the current work through the use of conformable fractional derivatives to incorporate spatial and temporal fractional order derivatives. With the aid of the Wolfram Mathematica software, a variety of solutions, including hyperbolic and periodic function solutions, are created. The information was gathered to evaluate how well the proposed novel (G’/G2)-expansion method could compute exact solutions of the WBBM equations that could be applied to the implementation of the nonlinear water model in the ocean and coastal engineering. Table 1 shows a comparison between the recently discovered solutions and those that have previously been reported in the literature. There are some visual representations of the solutions. |
| first_indexed | 2024-03-12T17:41:34Z |
| format | Article |
| id | doaj.art-4ab5bf7f934648e293b9be697128063f |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T17:41:34Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-4ab5bf7f934648e293b9be697128063f2023-08-04T05:47:12ZengElsevierResults in Physics2211-37972023-08-0151106671Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional orderMuhammad Shakeel0Abdul Manan1Nasser Bin Turki2Nehad Ali Shah3Sayed M. Tag4Department of Mathematics, University of Wah, Wah Cantt., 47040, PakistanDepartment of Mathematics, Faculty of Sciences, Superior University, Gold Campus Lahore, PakistanDepartment of Mathematics, College of Science, King Saud University, P.O. Box-2455, Riyadh-11451, Saudi ArabiaDepartment of Mechanical Engineering, Sejong University, Seoul 05006, South KoreaCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt; Corresponding author.The newly modified Benjamin-Bona-Mahony equations in three dimensions are examined in the current work through the use of conformable fractional derivatives to incorporate spatial and temporal fractional order derivatives. With the aid of the Wolfram Mathematica software, a variety of solutions, including hyperbolic and periodic function solutions, are created. The information was gathered to evaluate how well the proposed novel (G’/G2)-expansion method could compute exact solutions of the WBBM equations that could be applied to the implementation of the nonlinear water model in the ocean and coastal engineering. Table 1 shows a comparison between the recently discovered solutions and those that have previously been reported in the literature. There are some visual representations of the solutions.http://www.sciencedirect.com/science/article/pii/S2211379723004643Novel (G’/G2)-expansion methodFractional WBBM equationsExact solutionsConformable derivative |
| spellingShingle | Muhammad Shakeel Abdul Manan Nasser Bin Turki Nehad Ali Shah Sayed M. Tag Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order Results in Physics Novel (G’/G2)-expansion method Fractional WBBM equations Exact solutions Conformable derivative |
| title | Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order |
| title_full | Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order |
| title_fullStr | Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order |
| title_full_unstemmed | Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order |
| title_short | Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order |
| title_sort | novel analytical technique to find diversity of solitary wave solutions for wazwaz benjamin bona mahony equations of fractional order |
| topic | Novel (G’/G2)-expansion method Fractional WBBM equations Exact solutions Conformable derivative |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723004643 |
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