On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time
In this study, a generalization of the Estevez–Mansfield–Clarkson (EMC) equation that considers the presence of conformable time-fractional derivatives is investigated analytically. The integer-order model finds applications in mathematical physics, optics, and the investigation of shape developing...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2024-0109 |
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| author | Ahmed Nauman Macías-Díaz Jorge E. Umer Shazia Baber Muhammad Z. Jawaz Muhammad Vargas-Rodríguez Héctor |
| author_facet | Ahmed Nauman Macías-Díaz Jorge E. Umer Shazia Baber Muhammad Z. Jawaz Muhammad Vargas-Rodríguez Héctor |
| author_sort | Ahmed Nauman |
| collection | DOAJ |
| description | In this study, a generalization of the Estevez–Mansfield–Clarkson (EMC) equation that considers the presence of conformable time-fractional derivatives is investigated analytically. The integer-order model finds applications in mathematical physics, optics, and the investigation of shape developing in liquid drops. In this study, the Sardar sub-equation method, is employed to solve the generalized EMC equation. From the Sardar sub-equation method a broad range of soliton solutions, including dark-bright, combined dark-singular and periodic singular solitons, have been obtained. Some of the results derived in this study are plotted to illustrate that the solutions are solitary waves, indeed. |
| format | Article |
| id | doaj-art-9e0d8f825dc5415d8909cdcd71618c9b |
| institution | Kabale University |
| issn | 2391-5471 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj-art-9e0d8f825dc5415d8909cdcd71618c9b2025-01-14T14:22:22ZengDe GruyterOpen Physics2391-54712024-12-012212408510.1515/phys-2024-0109On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in timeAhmed Nauman0Macías-Díaz Jorge E.1Umer Shazia2Baber Muhammad Z.3Jawaz Muhammad4Vargas-Rodríguez Héctor5Department of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Mathematics and Didactics of Mathematics, School of Digital Technologies, Tallinn University, 10120 Tallinn, EstoniaDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Exact Sciences and Technology, Los Lagos University Center, University of Guadalajara, Jalisco, MexicoIn this study, a generalization of the Estevez–Mansfield–Clarkson (EMC) equation that considers the presence of conformable time-fractional derivatives is investigated analytically. The integer-order model finds applications in mathematical physics, optics, and the investigation of shape developing in liquid drops. In this study, the Sardar sub-equation method, is employed to solve the generalized EMC equation. From the Sardar sub-equation method a broad range of soliton solutions, including dark-bright, combined dark-singular and periodic singular solitons, have been obtained. Some of the results derived in this study are plotted to illustrate that the solutions are solitary waves, indeed.https://doi.org/10.1515/phys-2024-0109sardar sub-equation methodestevez–mansfield–clarkson equationexact analytical solutionssolitary wave solutions |
| spellingShingle | Ahmed Nauman Macías-Díaz Jorge E. Umer Shazia Baber Muhammad Z. Jawaz Muhammad Vargas-Rodríguez Héctor On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time Open Physics sardar sub-equation method estevez–mansfield–clarkson equation exact analytical solutions solitary wave solutions |
| title | On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time |
| title_full | On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time |
| title_fullStr | On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time |
| title_full_unstemmed | On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time |
| title_short | On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time |
| title_sort | on some solitary wave solutions of the estevez mansfield clarkson equation with conformable fractional derivatives in time |
| topic | sardar sub-equation method estevez–mansfield–clarkson equation exact analytical solutions solitary wave solutions |
| url | https://doi.org/10.1515/phys-2024-0109 |
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