SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations
In the present paper, new analytical solutions for the space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations are obtained by using the simplified tan(ϕ(ξ)2)-expansion method. Here, fractional derivatives are defined in the conformable sense. To show the correctness of t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-09-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013320300966 |
| _version_ | 1817978523176927232 |
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| author | H. Çerdik Yaslan Ayse Girgin |
| author_facet | H. Çerdik Yaslan Ayse Girgin |
| author_sort | H. Çerdik Yaslan |
| collection | DOAJ |
| description | In the present paper, new analytical solutions for the space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations are obtained by using the simplified tan(ϕ(ξ)2)-expansion method. Here, fractional derivatives are defined in the conformable sense. To show the correctness of the obtained traveling wave solutions, residual error function is defined. It is observed that the new solutions are very close to the exact solutions. The solutions obtained by the presented method have not been reported in former literature. |
| first_indexed | 2024-04-13T22:30:16Z |
| format | Article |
| id | doaj.art-13f705b0791842dc92de4444a396f725 |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-04-13T22:30:16Z |
| publishDate | 2021-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-13f705b0791842dc92de4444a396f7252022-12-22T02:26:56ZengElsevierJournal of Ocean Engineering and Science2468-01332021-09-0163228236SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equationsH. Çerdik Yaslan0Ayse Girgin1Corresponding author.; Department of Mathematics, Pamukkale University, Denizli 20070, TurkeyDepartment of Mathematics, Pamukkale University, Denizli 20070, TurkeyIn the present paper, new analytical solutions for the space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations are obtained by using the simplified tan(ϕ(ξ)2)-expansion method. Here, fractional derivatives are defined in the conformable sense. To show the correctness of the obtained traveling wave solutions, residual error function is defined. It is observed that the new solutions are very close to the exact solutions. The solutions obtained by the presented method have not been reported in former literature.http://www.sciencedirect.com/science/article/pii/S2468013320300966Space-time fractional Boussinesq equation(2 + 1)-dimensional breaking soliton equationSimplified tan(ϕ(ξ)2)-expansion method (SITEM)Conformable derivative |
| spellingShingle | H. Çerdik Yaslan Ayse Girgin SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations Journal of Ocean Engineering and Science Space-time fractional Boussinesq equation (2 + 1)-dimensional breaking soliton equation Simplified tan(ϕ(ξ)2)-expansion method (SITEM) Conformable derivative |
| title | SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations |
| title_full | SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations |
| title_fullStr | SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations |
| title_full_unstemmed | SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations |
| title_short | SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations |
| title_sort | sitem for the conformable space time fractional boussinesq and 2 1 dimensional breaking soliton equations |
| topic | Space-time fractional Boussinesq equation (2 + 1)-dimensional breaking soliton equation Simplified tan(ϕ(ξ)2)-expansion method (SITEM) Conformable derivative |
| url | http://www.sciencedirect.com/science/article/pii/S2468013320300966 |
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