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The residual symmetry, bäcklund transformations, CRE integrability and interaction solutions: (2+1)-dimensional Chaffee-Infante equation

dc.contributor.authorAy, Nursena Guenhan
dc.contributor.authorYaşar, Emrullah
dc.contributor.buuauthorAy, Nursena Guenhan
dc.contributor.buuauthorYAŞAR, EMRULLAH
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.researcheridAAG-9947-2021
dc.date.accessioned2024-09-27T10:16:13Z
dc.date.available2024-09-27T10:16:13Z
dc.date.issued2023-11-01
dc.description.abstractIn this paper, we consider the (2+1)-dimensional Chaffee-Infante equation, which occurs in the fields of fluid dynamics, high-energy physics, electronic science etc. We build Backlund transformations and residual symmetries in nonlocal structure using the Painleve truncated expansion approach. We use a prolonged system to localize these symmetries and establish the associated one-parameter Lie transformation group. In this transformation group, we deliver new exact solution profiles via the combination of various simple (seed and tangent hyperbolic form) exact solution structures. In this manner, we acquire an infinite amount of exact solution forms methodically. Furthermore, we demonstrate that the model may be integrated in terms of consistent Riccati expansion. Using the Maple symbolic program, we derive the exact solution forms of solitary-wave and soliton-cnoidal interaction. Through 3D and 2D illustrations, we observe the dynamic analysis of the acquired solution forms.
dc.identifier.doi10.1088/1572-9494/acf8b6
dc.identifier.eissn1572-9494
dc.identifier.issn0253-6102
dc.identifier.issue11
dc.identifier.urihttps://doi.org/10.1088/1572-9494/acf8b6
dc.identifier.urihttps://iopscience.iop.org/article/10.1088/1572-9494/acf8b6
dc.identifier.urihttps://hdl.handle.net/11452/45398
dc.identifier.volume75
dc.identifier.wos001100735500001
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherIOP Publishing
dc.relation.journalCommunications In Theoretical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMultiple-soliton-solutions
dc.subjectHirotas
dc.subjectBoussinesq
dc.subject(2+1)-dimensional chaffee-infante equation
dc.subjectPainleve truncated exapansion approach
dc.subjectDynamic analysis
dc.subjectBacklund transformations
dc.subjectResidual symmetries
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectPhysics, multidisciplinary
dc.subjectPhysics
dc.titleThe residual symmetry, bäcklund transformations, CRE integrability and interaction solutions: (2+1)-dimensional Chaffee-Infante equation
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationa5ff66ef-0c87-4d77-a467-e3150f51624c
relation.isAuthorOfPublication.latestForDiscoverya5ff66ef-0c87-4d77-a467-e3150f51624c

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