New waves solutions of a nonlinear Landau-Ginzburg-Higgs equation: The Sardar-subequation and energy balance approaches

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shafiq
dc.contributor.authorMahmoud, Emad E.
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorUllah, Aman
dc.contributor.authorAhmad, Shabir
dc.contributor.authorAkgul, Ali
dc.contributor.authorEl Din, Sayed M.
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article investigates the significance of the unsteady nonlinear Landau-Ginzburg-Higgs equation in the context of superfluids and Bose-Einstein condensates. The problem of interest is the search for new exact solutions within this equation. To tackle this problem, the Sardar-subequation and energy balance approaches are employed. Through these methods, a variety of new exact solutions are obtained, expressed in terms of cosine functions, generalized hyperbolic functions, and generalized trigonometric functions. The obtained solutions encompass different types of solitons, including bright and dark solitons, singular periodic soliton, and hybrid solitons. The solutions are then visualized through 2D and 3D simulations. The findings of this study contribute to the understanding of the Landau-Ginzburg-Higgs equation and its application to superfluids and Bose-Einstein condensates. The novelty of this work lies in the utilization of the Sardar-subequation and energy balance approaches to obtain diverse traveling wave solutions, surpassing previous efforts in the literature.
dc.identifier.doi10.1016/j.rinp.2023.106736
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85165553092
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106736
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6749
dc.identifier.volume51
dc.identifier.wosWOS:001046974200001
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.subjectLandau-Ginzburg-Higgs equation
dc.subjectSuperfluids
dc.subjectBright solitons
dc.titleNew waves solutions of a nonlinear Landau-Ginzburg-Higgs equation: The Sardar-subequation and energy balance approaches
dc.typeArticle

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