Some New Exact Solutions for a Generalized Variable Coeffi- Cients Kdv Equation
| dc.contributor.author | Kader, Abass H. Abdel | |
| dc.contributor.author | Latif, Mohamed S. Abdel | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | El Sonbaty, Amr | |
| dc.contributor.author | Rajagopalan, R. | |
| dc.date.accessioned | 2024-01-26T07:52:56Z | |
| dc.date.accessioned | 2025-09-18T12:04:58Z | |
| dc.date.available | 2024-01-26T07:52:56Z | |
| dc.date.available | 2025-09-18T12:04:58Z | |
| dc.date.issued | 2023 | |
| dc.description | Abdel Kader, Abass/0000-0002-9658-1430 | en_US |
| dc.description.abstract | In this paper, the variable coefficients KdV equation with general power nonlinearities is proposed. Firstly, it is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, the traveling wave transformation is utilized to transform the obtained constant coefficients generalized KdV equation into a generalized ordinary differential equation. We give a classification for the obtained generalized ordinary differential equation using a suitable integrating factor. Some new solutions are obtained for the generalized KdV equation with constant coefficients. All the obtained solutions in this paper for the variable coefficients KdV equation with general power nonlinearities are new. | en_US |
| dc.description.sponsorship | Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia | en_US |
| dc.description.sponsorship | The research is supported by the Deanship of Scientific Research, Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia. The authors are thankful to the unanimous reviewers for their valuable comments and the Editorial team of JMCS for their support in bringing this article in the present form. | en_US |
| dc.identifier.citation | Rajagopalan, R.;...et.al. (2023). "Some new exact solutions for a generalized variable coeffi- cients KdV equation", Journal of Mathematics and Computer Science, Vol.29, No.1, pp.1-11. | en_US |
| dc.identifier.doi | 10.22436/jmcs.029.01.01 | |
| dc.identifier.issn | 2008-949X | |
| dc.identifier.uri | https://doi.org/10.22436/jmcs.029.01.01 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10466 | |
| dc.language.iso | en | en_US |
| dc.publisher | int Scientific Research Publications | en_US |
| dc.relation.ispartof | Journal of Mathematics and Computer Science | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Exact Solutions | en_US |
| dc.subject | Generalized Kdv Equation | en_US |
| dc.subject | Traveling Wave | en_US |
| dc.subject | Solitons | en_US |
| dc.title | Some New Exact Solutions for a Generalized Variable Coeffi- Cients Kdv Equation | en_US |
| dc.title | Some new exact solutions for a generalized variable coeffi- cients KdV equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdel Kader, Abass/0000-0002-9658-1430 | |
| gdc.author.wosid | Latif, Mohamed/S-6583-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdel Kader, Abass/G-3875-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rajagopalan, R.; El Sonbaty, Amr] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia; [Kader, Abass H. Abdel; Latif, Mohamed S. Abdel; El Sonbaty, Amr] Mansoura Univ, Engn Fac, Dept Math & Engn Phys, Mansoura, Egypt; [Latif, Mohamed S. Abdel] New Mansoura Univ, Fac Sci, Dept Math, New Mansoura City, Egypt; [Baleanu, Dumitru] Cankaya Univ, Arts & Sci Fac, Math Dept, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 11 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1 | en_US |
| gdc.description.volume | 29 | en_US |
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