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A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAlshomrani, Ali Saleh
dc.contributor.authorUllah, Malik Zaka
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-02-24T07:15:56Z
dc.date.available2022-02-24T07:15:56Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, we investigate a new fourth-order integrable nonlinear equation. Firstly, by means of the efficient Hirota bilinear approach, we establish novel types of solutions which include breather, rogue, and three-wave solutions. Secondly, with the aid of Lie symmetry method, we report the invariance properties of the studied equation such as the group of transformations, commutator and adjoint representation tables. A differential substitution is found by nonlinear self-adjointness (NSA) and thereafter the associated conservation laws are established. We show some dynamical characteristics of the obtained solutions through via the 3-dimensional and contour graphs.en_US
dc.identifier.citationBaleanu, Dumitru; Alshomrani, Ali Saleh; Ullah, Malik Zaka (2021). "A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws", Advances in Difference Equations, Vol. 2021, No. 1.en_US
dc.identifier.doi10.1186/s13662-021-03352-6
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5049
dc.identifier.volume2021en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFourth-Order Integrable Nonlinear Equationen_US
dc.subjectLump Solutionsen_US
dc.subjectInteraction Solutionsen_US
dc.subjectInvariant Analysisen_US
dc.subjectConservation Lawsen_US
dc.titleA new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation lawstr_TR
dc.titleA New Fourth-Order Integrable Nonlinear Equation: Breather, Rogue Waves, Other Lump Interaction Phenomena, and Conservation Lawsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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