Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-Dimensional Nonlinear Evolutionary Equation
| dc.contributor.author | Hosseini, K. | |
| dc.contributor.author | Salahshour, S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Mirzazadeh, M. | |
| dc.date.accessioned | 2024-02-05T12:50:04Z | |
| dc.date.accessioned | 2025-09-18T12:08:26Z | |
| dc.date.available | 2024-02-05T12:50:04Z | |
| dc.date.available | 2025-09-18T12:08:26Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The main purpose of the current paper is to establish a (4 + 1)-dimensional nonlinear evolutionary (4D-NLE) equation and derive its Bäcklund transformation, complexiton, and solitons. To this end, the Bäcklund transformation of the 4D-NLE equation is first constructed by applying the truncated Painlevé expansion. The simplified Hirota’s method is then employed to acquire the solitons of the governing model. In the end, the complexiton of the 4D-NLE equation is retrieved using the Zhou–Ma method. As the completion of studies, several graphical representations are considered for different parameter values to show the dynamics of complexiton and solitons. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.identifier.citation | Hosseini K.;...et.al. (2023). "Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation", International Journal of Applied and Computational Mathematics, Vol.8, No.6. | en_US |
| dc.identifier.doi | 10.1007/s40819-022-01474-3 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issn | 2199-5796 | |
| dc.identifier.scopus | 2-s2.0-85140396141 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-022-01474-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11133 | |
| 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 | 4D-Nle Equation | en_US |
| dc.subject | Bäcklund Transformation | en_US |
| dc.subject | Complexiton And Solitons | en_US |
| dc.subject | Simplified Hirota’S Method | en_US |
| dc.subject | Truncated Painlevé Expansion | en_US |
| dc.title | Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-Dimensional Nonlinear Evolutionary Equation | en_US |
| dc.title | Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Hosseini K., Department of Mathematics, Near East University TRNC, Mersin, 10, Turkey; Salahshour S., Department of Mathematics, Near East University TRNC, Mersin, 10, Turkey, 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; Mirzazadeh M., Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, 44891-63157, Iran | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds | |
| gdc.oaire.keywords | Soliton solutions | |
| gdc.oaire.keywords | 4D-NLE equation | |
| gdc.oaire.keywords | truncated Painlevé expansion | |
| gdc.oaire.keywords | NLS equations (nonlinear Schrödinger equations) | |
| gdc.oaire.keywords | simplified Hirota's method | |
| gdc.oaire.keywords | Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems | |
| gdc.oaire.keywords | complexiton and solitons | |
| gdc.oaire.keywords | Bäcklund transformation | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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