The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation. Those solutions can explain through hyperbolic, trigonometric and rational functions. The graphical desi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016820300557 |
| _version_ | 1818461184721944576 |
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| author | Md Nur Alam Cemil Tunç |
| author_facet | Md Nur Alam Cemil Tunç |
| author_sort | Md Nur Alam |
| collection | DOAJ |
| description | The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation. Those solutions can explain through hyperbolic, trigonometric and rational functions. The graphical design makes the dynamics of the equations noticeable. Herein, the intended approach is simplistic, conventional, and convenient in implementing many solitary wave phenomena of several nonlinear fractional wave equations occurring in mathematical physics and engineering as well. |
| first_indexed | 2024-12-14T23:42:07Z |
| format | Article |
| id | doaj.art-e32b3838ed77431db8eb1eadf412924f |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-14T23:42:07Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-e32b3838ed77431db8eb1eadf412924f2022-12-21T22:43:29ZengElsevierAlexandria Engineering Journal1110-01682020-08-0159422212232The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equationsMd Nur Alam0Cemil Tunç1School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080 Van, Turkey; Corresponding author.The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation. Those solutions can explain through hyperbolic, trigonometric and rational functions. The graphical design makes the dynamics of the equations noticeable. Herein, the intended approach is simplistic, conventional, and convenient in implementing many solitary wave phenomena of several nonlinear fractional wave equations occurring in mathematical physics and engineering as well.http://www.sciencedirect.com/science/article/pii/S111001682030055735C0735C0835Q5335Q55 |
| spellingShingle | Md Nur Alam Cemil Tunç The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations Alexandria Engineering Journal 35C07 35C08 35Q53 35Q55 |
| title | The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations |
| title_full | The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations |
| title_fullStr | The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations |
| title_full_unstemmed | The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations |
| title_short | The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations |
| title_sort | new solitary wave structures for the 2 1 dimensional time fractional schrodinger equation and the space time nonlinear conformable fractional bogoyavlenskii equations |
| topic | 35C07 35C08 35Q53 35Q55 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016820300557 |
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