New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative
The Atangana–Baleanu conformable differential operator has been employed in this study to solve the conformable fractional Sharma-Tasso-Olever equation. The new extended direct algebraic method has then been employed in order to obtain the precise solutions. The results are obtained as hyperbolic, t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-07-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723003364 |
| _version_ | 1827923926261432320 |
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| author | Asma Rashid Butt Jaweria Zaka Ali Akgül Sayed M. El Din |
| author_facet | Asma Rashid Butt Jaweria Zaka Ali Akgül Sayed M. El Din |
| author_sort | Asma Rashid Butt |
| collection | DOAJ |
| description | The Atangana–Baleanu conformable differential operator has been employed in this study to solve the conformable fractional Sharma-Tasso-Olever equation. The new extended direct algebraic method has then been employed in order to obtain the precise solutions. The results are obtained as hyperbolic, trigonometric, and rational solutions. To see the fractional effects and dynamical behavior, graphic visualization has been demonstrated in 3D, contour, and 2D plots. The graphical representation of these data is very helpful in identifying the equation’s true physical significance. The acquired results are brand-new and more broadly applicable, and they show the value of the advised strategy for the analytical handling of nonlinear problems in mathematical physics and engineering. They are helpful in several circumstances for a better understanding of the dynamics of waves that are propagating. |
| first_indexed | 2024-03-13T05:03:15Z |
| format | Article |
| id | doaj.art-d4d9a56fef3c46a3ac393a7bc93483f0 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T05:03:15Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d4d9a56fef3c46a3ac393a7bc93483f02023-06-17T05:18:08ZengElsevierResults in Physics2211-37972023-07-0150106543New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivativeAsma Rashid Butt0Jaweria Zaka1Ali Akgül2Sayed M. El Din3Department of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey; Corresponding author at: Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey.Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptThe Atangana–Baleanu conformable differential operator has been employed in this study to solve the conformable fractional Sharma-Tasso-Olever equation. The new extended direct algebraic method has then been employed in order to obtain the precise solutions. The results are obtained as hyperbolic, trigonometric, and rational solutions. To see the fractional effects and dynamical behavior, graphic visualization has been demonstrated in 3D, contour, and 2D plots. The graphical representation of these data is very helpful in identifying the equation’s true physical significance. The acquired results are brand-new and more broadly applicable, and they show the value of the advised strategy for the analytical handling of nonlinear problems in mathematical physics and engineering. They are helpful in several circumstances for a better understanding of the dynamics of waves that are propagating.http://www.sciencedirect.com/science/article/pii/S2211379723003364Atangana–Baleanu conformable differential operatorFractional wave transformSTO equationNew extended algebraic methodSoliton solutions |
| spellingShingle | Asma Rashid Butt Jaweria Zaka Ali Akgül Sayed M. El Din New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative Results in Physics Atangana–Baleanu conformable differential operator Fractional wave transform STO equation New extended algebraic method Soliton solutions |
| title | New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative |
| title_full | New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative |
| title_fullStr | New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative |
| title_full_unstemmed | New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative |
| title_short | New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative |
| title_sort | new structures for exact solution of nonlinear fractional sharma tasso olever equation by conformable fractional derivative |
| topic | Atangana–Baleanu conformable differential operator Fractional wave transform STO equation New extended algebraic method Soliton solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723003364 |
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