ON THE PERIODIC SOLITON SOLUTIONS FOR FRACTIONAL SCHRÖDINGER EQUATIONS

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dc.authoridKumar, Devendra/0000-0003-4249-6326
dc.authoridAltalbe, Ali/0000-0003-1304-3723
dc.contributor.authorAli, Rashid
dc.contributor.authorKumar, Devendra
dc.contributor.authorAkguel, Ali
dc.contributor.authorAltalbe, Ali
dc.date.accessioned2024-12-24T19:29:43Z
dc.date.available2024-12-24T19:29:43Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this research, we use a novel version of the Extended Direct Algebraic Method (EDAM) namely generalized EDAM (gEDAM) to investigate periodic soliton solutions for nonlinear systems of fractional Schr & ouml;dinger equations (FSEs) with conformable fractional derivatives. The FSEs, which is the fractional abstraction of the Schr & ouml;dinger equation, grasp notable relevance in quantum mechanics. The proposed gEDAM technique entails creating nonlinear ordinary differential equations via a fractional complex transformation, which are then solved to acquire soliton solutions. Several 3D and contour graphs of the soliton solutions reveal periodicity in the wave profiles that offer crucial perspectives into the behavior of the system. The work sheds light on the dynamics of FSEs by displaying numerous families of periodic soliton solutions and their intricate relationships. These results hold significance not only for comprehending the dynamics of FSEs but also for nonlinear fractional partial differential equation applications.
dc.description.sponsorshipPrince Sattam Bin Abdulaziz University [PSAU/2024/01/823183]
dc.description.sponsorshipThe authors would like to thank Prince Sattam BinAbdulaziz University for funding this research workthrough project number (PSAU/2024/01/823183)
dc.identifier.doi10.1142/S0218348X24400334
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue07N08
dc.identifier.scopus2-s2.0-85194065304
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X24400334
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7222
dc.identifier.volume32
dc.identifier.wosWOS:001229571800002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectFractional Schr & ouml;dinger Equations
dc.subjectQuantum Mechanics
dc.subjectClosed Form Solutions
dc.subjectGeneralized Extended Direct Algebraic Method
dc.subjectAnalytical Method
dc.titleON THE PERIODIC SOLITON SOLUTIONS FOR FRACTIONAL SCHRÖDINGER EQUATIONS
dc.typeArticle

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