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

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dc.contributor.authorHosseini, K.
dc.contributor.authorSalahshour, Soheil
dc.contributor.authorBaleanu, Dumitru I.
dc.contributor.authorMirzazadeh, M. A.
dc.contributor.institutionHosseini, K., Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus
dc.contributor.institutionSalahshour, Soheil, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus, Faculty of Engineering and Natural Sciences, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.contributor.institutionBaleanu, Dumitru I., Department of Mathematics, Çankaya Üniversitesi, Ankara, Turkey, Institute for Space Sciences, Bucharest, Bucharest, Romania, Department of Medical Research, China Medical University, Taichung, Taiwan
dc.contributor.institutionMirzazadeh, M. A., Department of Engineering Science, University of Guilan, Rasht, Iran
dc.date.accessioned2025-10-05T15:11:52Z
dc.date.issued2022
dc.description.abstractThe 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 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1007/s40819-022-01474-3
dc.identifier.issn21995796
dc.identifier.issn23495103
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85140396141
dc.identifier.urihttps://doi.org/10.1007/s40819-022-01474-3
dc.identifier.urihttps://hdl.handle.net/20.500.14719/8468
dc.identifier.volume8
dc.language.isoen
dc.publisherSpringer
dc.relation.sourceInternational Journal of Applied and Computational Mathematics
dc.subject.authorkeywords4d-nle Equation
dc.subject.authorkeywordsBäcklund Transformation
dc.subject.authorkeywordsComplexiton And Solitons
dc.subject.authorkeywordsSimplified Hirota’s Method
dc.subject.authorkeywordsTruncated Painlevé Expansion
dc.titleBäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation
dc.typeArticle
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dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id36903183800
person.identifier.scopus-author-id23028598900
person.identifier.scopus-author-id7005872966
person.identifier.scopus-author-id36450796300

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