New exact solutions to space-time fractional telegraph equation with conformable derivative

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dc.contributor.authorAhmed, Naveed
dc.contributor.authorRani, Mehwish
dc.contributor.authorDragomir, Silvestru Sever
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:29:40Z
dc.date.available2024-12-24T19:29:40Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we extract variety of new exact traveling wave solutions of space-time fractional nonlinear Telegraph equation for transmission lines by using improved generalized Riccati equation mapping (IGREM) method. The aforementioned equation has been solved for the first time using conformable fractional derivative. The nonlinear Telegraph equation plays crucial role in the mathematical study of voltage and current on an electrical transmission line. In an effort to motivate the researchers, we have used very efficacious technique called IGREM method to find a variety of soliton solutions, in which appropriate conformable fractional wave transformation converts nonlinear partial fractional differential equation into nonlinear ordinary equation which is then solved to find the exact solutions of equation. Hence, we succeed in constructing rich solutions that include periodic wave, singular periodic wave solutions, dark, combined dark-bright and rational solutions. To investigate wave profiles of various solutions, 2D and 3D graphs have been explained. The originality of this work has been proved by comparing the obtained results with previously present results in literature. This method has substantial advantage over other methods that it can be used to solve higher order nonlinear PDEs, and this method allows to solve these equations more conveniently with the aid of mathematical software.
dc.identifier.doi10.1142/S0217979223502752
dc.identifier.issn0217-9792
dc.identifier.issn1793-6578
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85149860970
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0217979223502752
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7199
dc.identifier.volume38
dc.identifier.wosWOS:000944367800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectConformable fractional derivative
dc.subjectimproved generalized Riccati equation mapping
dc.subjectspace-time fractional nonlinear Telegraph equation
dc.subjectsolitary wave solutions
dc.titleNew exact solutions to space-time fractional telegraph equation with conformable derivative
dc.typeArticle

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