The formation of solitary wave solutions and their propagation for Kuralay equation

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dc.authoridAli Faridi, Waqas/0000-0003-0713-5365
dc.authoridMyrzakulova, Zhaidary/0000-0002-4047-4484
dc.authoridBakar, Muhammad Abu/0000-0003-3903-098X
dc.contributor.authorFaridi, Waqas Ali
dc.contributor.authorAbu Bakar, Muhammad
dc.contributor.authorMyrzakulova, Zhaidary
dc.contributor.authorMyrzakulov, Ratbay
dc.contributor.authorAkgul, Ali
dc.contributor.authorEl Din, Sayed M.
dc.date.accessioned2024-12-24T19:27:43Z
dc.date.available2024-12-24T19:27:43Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types of soliton solutions and analyze the integrable motion of induced space curves. This article appropriates the traveling wave transformation allowing the partial differential equation to be changed into an ordinary differential equation. To establish these soliton solutions, the study employs the new auxiliary equation method. As an outcome, a numerous types of soliton solutions like, Periodic pattern with anti-peaked crests and anti-troughs, singular solution, mixed complex solitary shock solution, mixed singular solution, mixed shock singular solution, mixed trigonometric solution, mixed periodic, periodic solution and mixed hyperbolic solution obtain via Mathematica. In order to visualize the graphical propagation of the obtained soliton solutions, 3D, 2D, and contour graphics are generated by choosing appropriate parametric values. The impact of parameter w is also graphically displayed on the propagation of solitons.
dc.description.sponsorshipMinistry of Science and Higher Education of the Republic of Kazakhstan [AP14870191]
dc.description.sponsorshipAcknowledgments This work was supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan, Grant AP14870191.
dc.identifier.doi10.1016/j.rinp.2023.106774
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85165880528
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106774
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6753
dc.identifier.volume52
dc.identifier.wosWOS:001050847600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectKuralay equation (K-IIE)
dc.subjectNew auxiliary equation method (NAEM)
dc.subjectAnalytical solitary wave solutions
dc.titleThe formation of solitary wave solutions and their propagation for Kuralay equation
dc.typeArticle

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