New Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space With Three Types of Local Derivatives
| dc.contributor.author | Hashemi, Mir Sajjad | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Akgul, Ali | |
| dc.date.accessioned | 2024-04-25T07:43:35Z | |
| dc.date.accessioned | 2025-09-18T12:04:46Z | |
| dc.date.available | 2024-04-25T07:43:35Z | |
| dc.date.available | 2025-09-18T12:04:46Z | |
| dc.date.issued | 2022 | |
| dc.description | Hashemi, Mir Sajjad/0000-0002-5529-3125; Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | The aim of this paper is to use the Nucci's reduction method to obtain some novel exact solutions to the s-dimensional generalized nonlinear dispersive mK(m,n) equation. To the best of the authors' knowledge, this paper is the first work on the study of differential equations with local derivatives using the reduction technique. This higher-dimensional equation is considered with three types of local derivatives in the temporal sense. Different types of exact solutions in five cases are reported. Furthermore, with the help of the Maple package, the solutions found in this study are verified. Finally, several interesting 3D, 2D and density plots are demonstrated to visualize the nonlinear wave structures more efficiently. | en_US |
| dc.description.sponsorship | Natural Science Foundation of Hunan province [2018JJ3018, 17C0292] | en_US |
| dc.description.sponsorship | This work was supported by the Natural Science Foundation of Hunan province (Grant Nos.: 2018JJ3018, 17C0292). | en_US |
| dc.identifier.citation | Akgül, A.; Hashemi, M.S.; Jarad, F. (2022). "New Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space with Three Types of Local Derivatives", Fractal and Fractional, Vol.6, no.4. | en_US |
| dc.identifier.doi | 10.3390/fractalfract6040202 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85128660044 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract6040202 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10441 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Nucci'S Reduction Method | en_US |
| dc.subject | M-Derivative | en_US |
| dc.subject | Beta Derivative | en_US |
| dc.subject | Hyperbolic Local Derivative | en_US |
| dc.subject | S-Dimensional Generalized Nonlinear Dispersive Mk(M | en_US |
| dc.subject | N) Equation | en_US |
| dc.title | New Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space With Three Types of Local Derivatives | en_US |
| dc.title | New Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space with Three Types of Local Derivatives | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hashemi, Mir Sajjad/0000-0002-5529-3125 | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | Akgül, Ali/F-3909-2019 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Hashemi, Mir Sajjad/M-4081-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey; [Hashemi, Mir Sajjad] Univ Bonab, Basic Sci Fac, Dept Math, POB 55513-95133, Bonab, Iran; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] King Abdulaziz Univ, Dept Math, POB 80257, Jeddah 21589, Saudi Arabia; [Jarad, Fahd] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 202 | |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | Nucci’s reduction method; M-derivative; beta derivative; hyperbolic local derivative; s-dimensional generalized nonlinear dispersive mK(m,n) equation | |
| gdc.oaire.keywords | s-dimensional generalized nonlinear dispersive mK(m,n) equation | |
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| gdc.oaire.keywords | s-dimensional generalized nonlinear dispersive mK(m | |
| gdc.oaire.keywords | M-derivative | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | hyperbolic local derivative | |
| gdc.oaire.keywords | Nucci’s reduction method | |
| gdc.oaire.keywords | QC310.15-319 | |
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