On the Soliton Solutions for the Stochastic Konno-Oono System in Magnetic Field with the Presence of Noise

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dc.authoridAhmed, Nauman/0000-0003-1742-585X
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.contributor.authorShaikh, Tahira Sumbal
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAhmed, Nauman
dc.contributor.authorShahid, Naveed
dc.contributor.authorAkgul, Ali
dc.contributor.authorde la Sen, Manuel
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we consider the stochastic Konno-Oono system to investigate the soliton solutions under the multiplicative sense. The multiplicative noise is considered firstly in the Stratonovich sense and secondly in the Ito sense. Applications of the Konno-Oono system include current-fed strings interacting with an external magnetic field. The F-expansion method is used to find the different types of soliton solutions in the form of dark, singular, complex dark, combo, solitary, periodic, mixed periodic, and rational functions. These solutions are applicable in the magnetic field when we study it at the micro level. Additionally, the absolute, real, and imaginary physical representations in three dimensions and the corresponding contour plots of some solutions are drawn in the sense of noise by the different choices of parameters.
dc.description.sponsorshipBasque Government [IT1555-22, KK-2022/00090, MCIN/AEI 269.10.13039/501100011033/FEDER, PID2021-1235430B-C21, PID2021-1235430B-C22]
dc.description.sponsorshipThis research was funded by Basque Government through Grants IT1555-22 and KK-2022/00090; and (MCIN/AEI 269.10.13039/501100011033/FEDER, UE) for Grants PID2021-1235430B-C21 and PID2021-1235430B-C22.
dc.identifier.doi10.3390/math11061472
dc.identifier.issn2227-7390
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85151499930
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math11061472
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8236
dc.identifier.volume11
dc.identifier.wosWOS:000959497700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectstochastic Konno-Oono system
dc.subjectsoliton solutions
dc.subjectStratonovich sense
dc.subjectIto sense
dc.subjectF-expansion method
dc.titleOn the Soliton Solutions for the Stochastic Konno-Oono System in Magnetic Field with the Presence of Noise
dc.typeArticle

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