Lump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equation

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dc.contributor.authorYıldırım, Yakup
dc.contributor.authorYaşar, Emrullah
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-30T08:01:13Z
dc.date.available2021-11-30T08:01:13Z
dc.date.issued2021-06-30
dc.description.abstractIn this paper, we study lump-type solutions to a new extended (3+1)-dimensional nonlinear evolution equation which appears in the field of wave propagation in the nonlinear systems. We generate these types of solutions by considering the prime number p = 3 of the generalized Hirota bilinear operators. With the help of Maple symbolic computations, we retrieve twenty-two classes of lump-type solutions which are a special kind of rational function solutions, localized in all directions in the space and describe various dispersive wave phenomena. These lump-type solutions are derived from positive quadratic function solutions by using the generalized Hirota bilinear form of the considered model. The lump solutions are recovered along with the existence conditions: Analyticity, positivity and localization in all directions. The required conditions of the analyticity and positivity of the solutions can be easily achieved by taking special choices of the involved parameters. The main ingredients for this scheme are to recover the Hirota bilinear forms and their generalized equivalences. Lastly, the graphical simulations of the exact solutions are depicted.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage396tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage382tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.645030tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76486
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.645030tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectLump-type solutiontr_TR
dc.subjectGeneralized bilinear operatortr_TR
dc.subjectAn new extended (3+1)-dimensional nonlinear evolution equationtr_TR
dc.titleLump-type solutions of a new extended (3+1)-dimensional nonlinear evolution equationtr_TR
dc.typeArticletr_TR

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