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Single and combined optical solitons, and conservation laws in (2+1)-dimensions with Kundu-Mukherjee-Naskar equation

dc.contributor.authorAliyu, Aliyu Isa
dc.contributor.authorLi, Yongjin
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-03T12:14:17Z
dc.date.available2021-02-03T12:14:17Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, the celebrated (2 + 1)-dimensional Kundu-Mukherjee-Naskar equation (KMNE) proposed to govern the soliton dynamics in (2 + 1)-dimensions along excited resonant wave guides that is doped with Erbium atoms is studied with the aid of ansatz approach and sine-Gordon expansion method (SGEM). The integration algorithms revealed both single and combined optical solitons of the model. These solitons are reported as bright, dark, combined dark-bright and singular solitons. The combined dark-bright and combined singular soliton solutions of the KMNE are to the best of our knowledge reported for the first time in this paper. These solutions supplements the existing ones in the literature. Additionally, we studied the conservation laws (Cls) of the equation by applying the multipliers approach and report the non-trivial fluxes associated with the equation. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.en_US
dc.description.publishedMonth2
dc.identifier.citationAliyu, Aliyu Isa; Li, Yongjin; Baleanu, Dumitru (2020). "Single and combined optical solitons, and conservation laws in (2+1)-dimensions with Kundu-Mukherjee-Naskar equation", Chinese Journal of Physics, Vol. 63, pp. 410-418.en_US
dc.identifier.doi10.1016/j.cjph.2019.11.001
dc.identifier.endpage418en_US
dc.identifier.issn0577-9073
dc.identifier.startpage410en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4542
dc.identifier.volume63en_US
dc.language.isoenen_US
dc.relation.ispartofChinese Journal of Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(2+1)-Dimensions Kundu-Mukherjee-Naskar Equation (2+1)-Dimensionsen_US
dc.subjectKundu-Mukherjee-Naskar Equationen_US
dc.subjectSine-Gordon Expansion Methoden_US
dc.subjectOptical Solitonsen_US
dc.subjectConservation Lawsen_US
dc.subjectMultipliersen_US
dc.titleSingle and combined optical solitons, and conservation laws in (2+1)-dimensions with Kundu-Mukherjee-Naskar equationtr_TR
dc.titleSingle and Combined Optical Solitons, and Conservation Laws in (2+1)-Dimensions With Kundu-Mukherjee Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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