The construction of exact solution and explicit propagating optical soliton waves of Kuralay equation by the new extended direct algebraic and Nucci's reduction techniques

Basit Öğe Kaydı
dc.authoridAli Faridi, Waqas/0000-0003-0713-5365
dc.authoridOsman, M. S./0000-0002-5783-0940
dc.authoridMyrzakulova, Zhaidary/0000-0002-4047-4484
dc.contributor.authorFaridi, Waqas Ali
dc.contributor.authorMyrzakulova, Zhaidary
dc.contributor.authorMyrzakulov, Ratbay
dc.contributor.authorAkguel, Ali
dc.contributor.authorOsman, M. S.
dc.date.accessioned2024-12-24T19:28:05Z
dc.date.available2024-12-24T19:28:05Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe aim of this paper is to investigate the integrable motion of induced curves using the Kuralay equation, which is a complex integrable coupled system. The soliton solutions derived from Kuralay equation are supposed to represent the most advanced research in several significant phenomena, including optical fibers, nonlinear optics, and ferromagnetic materials. Analytical methods are used to obtain traveling wave solutions for this model as the Cauchy problem cannot be addressed by the inverse scattering transform. In order to find the solitary wave solutions, the new extended direct algebraic and Nucci's reduction approaches are taken over. As a result, the new extended direct algebraic method provides singular, mixed singular, periodic, mixed trigonometric, complex combo, trigonometric, mixed hyperbolic, plane, and combined bright-dark soliton solutions. The Nucci's reduction technique develops the first integral of differential equation to discuss the conservation and exact solutions. To ensure the sensitivity of the study, the effect of waves on the propagation of solitons and the sensitivity of the model is examined. To illustrate how the fitting values of the system parameters may be utilized to anticipate the behavioral reactions to pulse propagation, the resulting solutions are visually shown in 2D and 3D charts.
dc.description.sponsorshipMinistry of Science and Higher Education of the Republic of Kazakhstan [AP14870191]
dc.description.sponsorshipThis work was supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan, Grant AP14870191.
dc.identifier.doi10.1080/02286203.2024.2315278
dc.identifier.issn0228-6203
dc.identifier.issn1925-7082
dc.identifier.scopus2-s2.0-85186915526
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1080/02286203.2024.2315278
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6915
dc.identifier.wosWOS:001179088000001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofInternational Journal of Modelling and Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectKuralay equation
dc.subjectnew extended direct algebraic method
dc.subjectNucci's reduction scheme
dc.subjectanalytical exact solutions
dc.titleThe construction of exact solution and explicit propagating optical soliton waves of Kuralay equation by the new extended direct algebraic and Nucci's reduction techniques
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu