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

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dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author Li, Yongjin
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-04T08:28:43Z
dc.date.available 2023-01-04T08:28:43Z
dc.date.issued 2020-02
dc.identifier.citation Aliyu, 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. tr_TR
dc.identifier.issn 0577-9073
dc.identifier.uri http://hdl.handle.net/20.500.12416/6017
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.cjph.2019.11.001 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject (2+1)-Dimensions Kundu-Mukherjee-Naskar Equation (2+1)-Dimensions tr_TR
dc.subject Kundu-Mukherjee-Naskar Equation tr_TR
dc.subject Sine-Gordon Expansion Method tr_TR
dc.subject Optical Solitons tr_TR
dc.subject Conservation Laws tr_TR
dc.subject Multipliers tr_TR
dc.title Single and combined optical solitons, and conservation laws in (2+1)-dimensions with Kundu-Mukherjee-Naskar equation tr_TR
dc.type article tr_TR
dc.relation.journal CHINESE JOURNAL OF PHYSICS tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 63 tr_TR
dc.identifier.startpage 410 tr_TR
dc.identifier.endpage 418 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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