Chaotic and Solitonic Solutions for a New Time-Fractional Two-Mode Korteweg-De Vries Equation
| dc.contributor.author | Alquran, Marwan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Jaradat, Imad | |
| dc.contributor.author | Momani, Shaher | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-09-23T12:48:36Z | |
| dc.date.available | 2025-09-23T12:48:36Z | |
| dc.date.issued | 2020 | |
| dc.description | Alquran, Marwan/0000-0003-3901-9270 | en_US |
| dc.description.abstract | The two-mode Korteweg-de Vries (TMKdV) equation is a nonlinear dispersive wave model that describes the motion of two different directional wave modes with the same dispersion relations but with various phase velocities, nonlinearity, and dispersion parameters. In this work, we study the dynamics of the model analytically in a time-fractional sense to ensure the stability of the extracted waves of the TMKdV equation. We use the fractional power series technique to conduct our analysis. We show that there is a homotopy mapping of the solution as the Caputo time-fractional derivative order varies over (0,1] and that both waves have the same physical shapes but with reflexive relation. | en_US |
| dc.description.sponsorship | Ajman University, Ajman, UAE | en_US |
| dc.description.sponsorship | The second and the third authors would like to express their sincere appreciation to the Ajman University, Ajman, UAE, for providing the financial support. | en_US |
| dc.identifier.citation | Alquran, Marwan...et al. (2020). "CHAOTIC AND SOLITONIC SOLUTIONS FOR A NEW TIME-FRACTIONAL TWO-MODE KORTEWEG-DE VRIES EQUATION", Romanian Reports in Physics, Vol. 72, No. 3. | en_US |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.issn | 1841-8759 | |
| dc.identifier.scopus | 2-s2.0-85090386413 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15298 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Time-Fractional Derivative | en_US |
| dc.subject | Two-Mode Korteweg-De Vries Equation | en_US |
| dc.subject | Fractional Power Series | en_US |
| dc.title | Chaotic and Solitonic Solutions for a New Time-Fractional Two-Mode Korteweg-De Vries Equation | en_US |
| dc.title | CHAOTIC AND SOLITONIC SOLUTIONS FOR A NEW TIME-FRACTIONAL TWO-MODE KORTEWEG-DE VRIES EQUATION | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Alquran, Marwan/0000-0003-3901-9270 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 36679871400 | |
| gdc.author.scopusid | 57189531571 | |
| gdc.author.scopusid | 8842321100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Alquran, Marwan/Iup-3798-2023 | |
| gdc.author.wosid | Jaradat, Imad/Gpk-2701-2022 | |
| gdc.author.wosid | Momani, Shaher/P-7973-2014 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alquran, Marwan; Jaradat, Imad] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan; [Momani, Shaher] Ajman Univ, Coll Humanities & Sci, Dept Math & Sci, Ajman, U Arab Emirates; [Momani, Shaher] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 72 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000562620700005 | |
| gdc.scopus.citedcount | 25 | |
| gdc.wos.citedcount | 23 | |
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