Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves
In this manuscript, we employed an extended modified auxiliary equation mapping (EMAEM) method to the 3D fractional Wazwaz–Benjamin–Bona–Mahony equation (WBBM) with the help of computer symbolic computing system. By using this technique, we get new sets of solutions like kink and anti kink, periodic...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379720321392 |
| _version_ | 1818666012428468224 |
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| author | U. Akram Aly R. Seadawy S.T.R. Rizvi M. Younis Saad Althobaiti Samy Sayed |
| author_facet | U. Akram Aly R. Seadawy S.T.R. Rizvi M. Younis Saad Althobaiti Samy Sayed |
| author_sort | U. Akram |
| collection | DOAJ |
| description | In this manuscript, we employed an extended modified auxiliary equation mapping (EMAEM) method to the 3D fractional Wazwaz–Benjamin–Bona–Mahony equation (WBBM) with the help of computer symbolic computing system. By using this technique, we get new sets of solutions like kink and anti kink, periodic and doubly periodic, bell shaped, trigonometric functional solutions, hyperbolic solutions, singular kink, rational solutions, and combined soliton like solutions. These results are figured out graphically by using suitable values of parameters with detailed behavior of physical structure of solutions. |
| first_indexed | 2024-12-17T05:57:46Z |
| format | Article |
| id | doaj.art-b27f838f61594254a95fd2953fc11706 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-17T05:57:46Z |
| publishDate | 2021-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-b27f838f61594254a95fd2953fc117062022-12-21T22:00:59ZengElsevierResults in Physics2211-37972021-01-0120103725Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water wavesU. Akram0Aly R. Seadawy1S.T.R. Rizvi2M. Younis3Saad Althobaiti4Samy Sayed5Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanMathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding author.Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanPunjab University College of Information Technology, University of the Punjab, Lahore, PakistanTechnology and Science Department, Ranyah University Collage, Taif University, Taif 21944, Saudi ArabiaTechnology and Science Department, Ranyah University Collage, Taif University, Taif 21944, Saudi ArabiaIn this manuscript, we employed an extended modified auxiliary equation mapping (EMAEM) method to the 3D fractional Wazwaz–Benjamin–Bona–Mahony equation (WBBM) with the help of computer symbolic computing system. By using this technique, we get new sets of solutions like kink and anti kink, periodic and doubly periodic, bell shaped, trigonometric functional solutions, hyperbolic solutions, singular kink, rational solutions, and combined soliton like solutions. These results are figured out graphically by using suitable values of parameters with detailed behavior of physical structure of solutions.http://www.sciencedirect.com/science/article/pii/S2211379720321392Fractional Wazwaz–Benjamin–Bona–Mahony equationSolitary wave solutionsIntegrability |
| spellingShingle | U. Akram Aly R. Seadawy S.T.R. Rizvi M. Younis Saad Althobaiti Samy Sayed Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves Results in Physics Fractional Wazwaz–Benjamin–Bona–Mahony equation Solitary wave solutions Integrability |
| title | Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves |
| title_full | Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves |
| title_fullStr | Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves |
| title_full_unstemmed | Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves |
| title_short | Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves |
| title_sort | traveling wave solutions for the fractional wazwaz benjamin bona mahony model in arising shallow water waves |
| topic | Fractional Wazwaz–Benjamin–Bona–Mahony equation Solitary wave solutions Integrability |
| url | http://www.sciencedirect.com/science/article/pii/S2211379720321392 |
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