New insights into fractional twin-core couplers: bifurcation and sensitivity analysis

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dc.contributor.authorZhou, Zizhao
dc.contributor.authorAbbas, M. S.
dc.contributor.authorEl-Rashidy, K.
dc.contributor.authorQadri, Intakhab Alam
dc.contributor.authorAbuzar, Muhammad
dc.contributor.authorAkguel, Ali
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:29:54Z
dc.date.available2024-12-24T19:29:54Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper analyses the analytical solutions of the fractional twin-core coupler (fTCC) equations, which include Kerr law nonlinearity, utilising the unified and sub-ODE methods along with beta and M-truncated fractional derivatives. The visually detailed report highlights certain solutions adorned with carefully selected parametric values to demonstrate their distribution. The main concept of this enhancement involves adopting a new formal structure for the preferred solution and considering the dynamic aspects of the problem. To achieve a more profound comprehension of physical implications of these solutions, we have depicted them through diverse visualisations, including 3D and 2D plots. Subsequently, a planar dynamical system is introduced, and bifurcation analysis is performed to determine the bifurcation structures of the nonlinear and super-nonlinear travelling wave solutions of the proposed model. Every potential phase portrait is displayed using specific parameter values. Finally, the model is transformed via the Galilean transformation into a planer dynamical system and the sensitivity performance is assessed.
dc.description.sponsorshipDeanship of Graduate Studies and Scientific Research, Taif University
dc.description.sponsorshipThe authors would like to acknowledge the Deanship of Graduate Studies and Scientific Research, Taif University for funding this work.
dc.identifier.doi10.1186/s13661-024-01941-4
dc.identifier.issn1687-2770
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85209670796
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01941-4
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7305
dc.identifier.volume2024
dc.identifier.wosWOS:001358869900001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectBeta-derivative
dc.subjectM-truncated derivative
dc.subjectAnalytical solutions
dc.subjectUnified method
dc.subjectSub-ODE method
dc.subjectPhase portraits
dc.subjectSensitivity analysis
dc.titleNew insights into fractional twin-core couplers: bifurcation and sensitivity analysis
dc.typeArticle

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