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Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation

dc.authorscopusid 36903183800
dc.authorscopusid 23028598900
dc.authorscopusid 7005872966
dc.authorscopusid 36450796300
dc.contributor.author Hosseini, K.
dc.contributor.author Salahshour, S.
dc.contributor.author Baleanu, D.
dc.contributor.author Mirzazadeh, M.
dc.contributor.authorID 56389 tr_TR
dc.date.accessioned 2024-02-05T12:50:04Z
dc.date.available 2024-02-05T12:50:04Z
dc.date.issued 2022
dc.department Çankaya University en_US
dc.department-temp 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
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.description.publishedMonth 12
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.issue 6 en_US
dc.identifier.scopus 2-s2.0-85140396141
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1007/s40819-022-01474-3
dc.identifier.volume 8 en_US
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof International Journal of Applied and Computational Mathematics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 2
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 tr_TR
dc.title Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-Dimensional Nonlinear Evolutionary Equation en_US
dc.type Article en_US
dspace.entity.type Publication

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