Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System
In this study coupled system of nonlinear time fractional Drinfeld-Sokolov-Wilson equations, which describes the propagation of anomalous shallow water waves is investigated. The Lie symmetry analysis is performed on the model. Employing the suitable similarity transformations, the governing model i...
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Kharazmi University
2018-12-01
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| Series: | پژوهشهای ریاضی |
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| Online Access: | http://mmr.khu.ac.ir/article-1-2679-en.html |
| _version_ | 1797871746282422272 |
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| author | Hadi Roohani Ghehsareh Ahmad Majlesi Ali Zaghian |
| author_facet | Hadi Roohani Ghehsareh Ahmad Majlesi Ali Zaghian |
| author_sort | Hadi Roohani Ghehsareh |
| collection | DOAJ |
| description | In this study coupled system of nonlinear time fractional Drinfeld-Sokolov-Wilson equations, which describes the propagation of anomalous shallow water waves is investigated. The Lie symmetry analysis is performed on the model. Employing the suitable similarity transformations, the governing model is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober fractional derivatives. Moreover the invariant subspace method is used to calculate the explicit analytical solutions of the problem. ./files/site1/files/42/5Abstract.pdf |
| first_indexed | 2024-04-10T00:47:31Z |
| format | Article |
| id | doaj.art-ad54a65a66b14301b5e77591c9dbf253 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:47:31Z |
| publishDate | 2018-12-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-ad54a65a66b14301b5e77591c9dbf2532023-03-13T19:19:20ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542018-12-0142185200Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) SystemHadi Roohani Ghehsareh0Ahmad Majlesi1Ali Zaghian2 Malek Ashtar University of technology Malek Ashtar University of technology Malek Ashtar University of technology In this study coupled system of nonlinear time fractional Drinfeld-Sokolov-Wilson equations, which describes the propagation of anomalous shallow water waves is investigated. The Lie symmetry analysis is performed on the model. Employing the suitable similarity transformations, the governing model is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober fractional derivatives. Moreover the invariant subspace method is used to calculate the explicit analytical solutions of the problem. ./files/site1/files/42/5Abstract.pdfhttp://mmr.khu.ac.ir/article-1-2679-en.htmllie symmetry analysistime fractional drinfeld-sokolov-wilson (dsw) systemerdelyi-kober operatorsinvariant subspace method. |
| spellingShingle | Hadi Roohani Ghehsareh Ahmad Majlesi Ali Zaghian Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System پژوهشهای ریاضی lie symmetry analysis time fractional drinfeld-sokolov-wilson (dsw) system erdelyi-kober operators invariant subspace method. |
| title | Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System |
| title_full | Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System |
| title_fullStr | Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System |
| title_full_unstemmed | Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System |
| title_short | Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System |
| title_sort | lie symmetry analysis and explicit exact dolutions of the time fractional drinfeld sokolov wilson dsw system |
| topic | lie symmetry analysis time fractional drinfeld-sokolov-wilson (dsw) system erdelyi-kober operators invariant subspace method. |
| url | http://mmr.khu.ac.ir/article-1-2679-en.html |
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