Interactions of soliton solutions for the generalized viscous capillarity compressible fluid model

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dc.contributor.authorBaboucarr Ceesay
dc.contributor.authorNauman Ahmed
dc.contributor.authorMuhammad Zafarullah Baber
dc.contributor.authorAli Akgul
dc.contributor.authorMuhammad Jawaz
dc.date.accessioned2025-07-01T06:32:10Z
dc.date.available2025-07-01T06:32:10Z
dc.date.issued2025-06-23
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this work, interactions in a generalized viscous capillarity compressible fluid model are studied analytically employing the approach of Hirota bilinear transformation. We examine the conservation laws of the p-system with a generalized cubic van der Waals flow, nonlinear viscosity, and capillarity factors. This approach is used in the study to show numerous novel wave shapes and solitary solutions in compressible isothermal viscosity-capillarity van der Waals fluids. With the help of Mathematica, we extract various wave phenomena such as bright and dark breathers, kink, anti-kink, periodic lumps, periodic cross kink, M-shaped, mixed and multiple wave structures. The 3D dynamical behaviours and their related contour profiles for the obtained solutions are presented. The Hirota bilinear transformation approach's effectiveness and clarity, as shown in this paper, underscore its potential as a useful tool for deciphering complex physical processes.
dc.identifier.citationCeesay, B., Ahmed, N., Baber, M. Z., Akgul, A., & Jawaz, M. (2025). Interactions of soliton solutions for the generalized viscous capillarity compressible fluid model. Mathematical and Computer Modelling of Dynamical Systems, 31(1), 2519290.
dc.identifier.doi10.1080/13873954.2025.2519290
dc.identifier.issn1387-3954
dc.identifier.issn1744-5051
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105008912556
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1080/13873954.2025.2519290
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8741
dc.identifier.volume31
dc.identifier.wos001513792200001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherInforma UK Limited
dc.relation.ispartofMathematical and Computer Modelling of Dynamical Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjecthirota bilinear technique
dc.subjectSoliton solutions
dc.subjectvan der Waals system
dc.titleInteractions of soliton solutions for the generalized viscous capillarity compressible fluid model
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume31

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