A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex N -Kink Solitons
| dc.contributor.author | Samavat, M. | |
| dc.contributor.author | Mirzazadeh, M. | |
| dc.contributor.author | Salahshour, S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Hosseini, K. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2024-02-09T11:41:01Z | |
| dc.date.accessioned | 2025-09-18T12:09:49Z | |
| dc.date.available | 2024-02-09T11:41:01Z | |
| dc.date.available | 2025-09-18T12:09:49Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Studying the dynamics of solitons in nonlinear evolution equations (NLEEs) has gained considerable interest in the last decades. Accordingly, the search for soliton solutions of NLEEs has been the main topic of many research studies. In the present paper, a new (4 + 1)-dimensional Burgers equation (n4D-BE) is introduced that describes specific dispersive waves in nonlinear sciences. Based on the truncated Painlevé expansion, the Bäcklund transformation of the n4D-BE is firstly extracted, then, its real and complex N-kink solitons are derived using the simplified Hirota method. Furthermore, several ansatz methods are formally adopted to obtain a group of other single-kink soliton solutions of the n4D-BE. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.description.publishedMonth | 6 | |
| dc.identifier.citation | Samavat, Majid;...et.al. (2022). "A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex -Kink Solitons", International Journal of Applied and Computational Mathematics, Vol.8, No.172. | en_US |
| dc.identifier.doi | 10.1007/s40819-022-01359-5 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.scopus | 2-s2.0-85133031831 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-022-01359-5 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11532 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bäcklund Transformation | en_US |
| dc.subject | New (4 + 1)-Dimensional Burgers Equation | en_US |
| dc.subject | Real And Complex N-Kink Solitons | en_US |
| dc.subject | Simplified Hirota Method | en_US |
| dc.subject | Specific Dispersive Waves | en_US |
| dc.title | A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex N -Kink Solitons | en_US |
| dc.title | A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex -Kink Solitons | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 36903183800 | |
| gdc.author.scopusid | 57216615450 | |
| gdc.author.scopusid | 36450796300 | |
| gdc.author.scopusid | 23028598900 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Hosseini K., Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran, Department of Mathematics, Near East University TRNC, Mersin 10, Turkey; Samavat M., Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, 41335-1914, Iran; Mirzazadeh M., Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, 44891-63157, Iran; Salahshour S., Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey; Baleanu D., Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, 06530, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania, Department of Medical Research, China Medical University, Taichung, 40447, Taiwan | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 8 | en_US |
| gdc.identifier.openalex | W4283446009 | |
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| gdc.openalex.normalizedpercentile | 0.8 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 8 | |
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| gdc.plumx.mendeley | 1 | |
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