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A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex -Kink Solitons

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dc.contributor.author Samavat, Majid
dc.contributor.author Mirzazadeh, Mohammad
dc.contributor.author Hosseini, Kamyar
dc.contributor.author Salahshour, Soheil
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-02-09T11:41:01Z
dc.date.available 2024-02-09T11:41:01Z
dc.date.issued 2022-06-25
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. tr_TR
dc.identifier.issn 2199-5796
dc.identifier.uri http://hdl.handle.net/20.500.12416/7144
dc.description.abstract Studying the dynamics of solitons in nonlinear evolution equations (NLEEs) has gainedconsiderable interest in the last decades. Accordingly, the search for soliton solutions ofNLEEs 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 disper-sive waves in nonlinear sciences. Based on the truncated Painlevé expansion, the Bäcklundtransformation of the n4D-BE is firstly extracted, then, its real and complex N-kink solitonsare derived using the simplified Hirota method. Furthermore, several ansatz methods areformally adopted to obtain a group of other single-kink soliton solutions of the n4D-BE tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s40819-022-01359-5 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject New (4 + 1)-Dimensional Burgers Equation tr_TR
dc.subject Specific Dispersive Waves tr_TR
dc.subject Bäcklund Transformation tr_TR
dc.subject Simplified Hirota Method tr_TR
dc.subject Real And Complex N-kink Solitons tr_TR
dc.title A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex -Kink Solitons tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Applied and Computational Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 172 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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