Explicit solitary wave structures for the fractional-order Sobolev-type equations and their stability analysis

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dc.contributor.authorShahzad, Tahir
dc.contributor.authorAhmed, Muhammad Ozair
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAmacha, Inas
dc.date.accessioned2024-12-24T19:25:19Z
dc.date.available2024-12-24T19:25:19Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe current research is concerned with solitary wave structures to the time fractional -order Sobolev-type equations. The special types of Sobolev-type equations are under consideration such as the generalized hyperelastic-rod wave (HRW) equation, and Camassa-Holm (CH) equation. These equations occur in several fields, including particularly in quantum field theory, plasma theory, ecology, consolidation of clay and fluid dynamics. The underlying models are investigated analytically by applying two techniques, such as the generalized projective Riccati equation (GPRE) and the modified auxiliary equation (MAE). The gained results are obtained from the different families of solutions such as, including a periodic wave, kink -type wave peakon, a singular wave, and dark solutions. The gained results are denoted as hyperbolic and trigonometric functions. Furthermore, we check that the underlying models are stable using the concept of linearized stability. The propagation behavior of the gained results is displayed in 3D, 2D, and contour visualizations to investigate the influence of various relevant parameters. These results will help the researchers to understand the physical situations.
dc.description.sponsorshipTAS research lab
dc.description.sponsorshipAcknowledgement The author Thabet Abdeljawad would like to thank Prince Sultan University for the support through TAS research lab.
dc.identifier.doi10.1016/j.aej.2024.02.032
dc.identifier.endpage38
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85186495244
dc.identifier.scopusqualityQ1
dc.identifier.startpage24
dc.identifier.urihttps://doi.org/10.1016/j.aej.2024.02.032
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6341
dc.identifier.volume92
dc.identifier.wosWOS:001209253200001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSolitary wave structures
dc.subjectGeneralized HEW equation
dc.subjectCH equation
dc.subjectSobolev equation
dc.subjectGPRE technique
dc.subjectMAE technique
dc.subjectStability
dc.titleExplicit solitary wave structures for the fractional-order Sobolev-type equations and their stability analysis
dc.typeArticle

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