Investigation of optical soliton solutions of higher-order nonlinear Schrödinger equation having Kudryashov nonlinear refractive index

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dc.authorscopusid7006522244
dc.authorscopusid50861949500
dc.authorscopusid7005821294
dc.authorscopusid57193766321
dc.authorscopusid57205299953
dc.authorscopusid57224353513
dc.authorscopusid57224858882
dc.contributor.authorOzisik, Muslum
dc.contributor.authorSecer, Aydin
dc.contributor.authorBayram, Mustafa
dc.contributor.authorCinar, Melih
dc.contributor.authorOzdemir, Neslihan
dc.contributor.authorEsen, Handenur
dc.contributor.authorOnder, Ismail
dc.date.accessioned2024-09-11T19:57:26Z
dc.date.available2024-09-11T19:57:26Z
dc.date.issued2023
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractPurpose: In this paper, optical solitons of higher-order nonlinear Schrödinger equation with Kudryashov's sextic power-law of nonlinear refractive index are investigated via the direct mapping method. The considered model identifies the optical soliton pulse propagation in the optical fibers. Deriving the optical solutions of investigated model such as sextic power is critical but difficult work. The primary aim of this paper is to graphically examine the impact of power-law nonlinearity (pLawNL) and chromatic dispersion (CD) parameters clarifying self-phase modulation (SPM) in the equation on soliton behavior as well as obtaining optical soliton solutions. Methodology: To according to the used technique, we first used the complex wave transform to generate the nonlinear ordinary differential equation (NLODE) form of the nonlinear Schrödinger equation (NLSE) with Kudryashov's sextic power-law the nonlinear refractive index (SPLawNRI). Then, we were able to produce a system of linear equations in polynomial form by using the approach. Different solution sets including the values of the parameters of the studied equation and the suggested approach were produced by solving the linear system of equations. Findings: We acquired the optical soliton solutions of the main equation after inserting the sets and wave transformation into the solution functions suggested by the approach. The constraint conditions for the related solutions were suggested. We proved that the gained solutions satisfied the NLSE with Kudryashov's SPLawNRI under the suggested constraint conditions. Originality: We present contour, 3D and 2D depictions in various simulations in figures to comment the obtained solution functions. Besides, we investigate the effects of the power-law nonlinearity parameter that expresses SPM in the main equation and the parameter that are the group velocity dispersion (GVD) or chromatic dispersion (CD) on soliton behavior. The results suggest that the utilized approach is efficient, reliable, and powerful to be readily applied to various NLSEs with higher-order or higher pLawNLs that characterize real-life problems. © 2023 Elsevier GmbHen_US
dc.description.sponsorshipYildiz Teknik Üniversitesi, (FBA-2022-5108)en_US
dc.description.sponsorshipThis work was supported by Yildiz Technical University Scientific Research Projects Coordination Unit, Turkey under project number FBA-2022-5108 .en_US
dc.identifier.doi10.1016/j.ijleo.2023.170548
dc.identifier.issn0030-4026en_US
dc.identifier.scopus2-s2.0-85146415514en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.ijleo.2023.170548
dc.identifier.urihttps://hdl.handle.net/11363/8264
dc.identifier.volume274en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier GmbHen_US
dc.relation.ispartofOptiken_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240903_Gen_US
dc.subjectKudryashov's sextic power-law nonlinearity; Mapping method; Optical fiber; Self-phase modulation; Solitonsen_US
dc.titleInvestigation of optical soliton solutions of higher-order nonlinear Schrödinger equation having Kudryashov nonlinear refractive indexen_US
dc.typeArticleen_US

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