New Exact Solutions of the New Hamiltonian Amplitude Equation and Fokas-Lenells Equation

dc.contributor.authorDemiray, Seyma Tuluce
dc.contributor.authorBulut, Hasan
dc.date.accessioned2026-08-12T17:32:38Z
dc.date.issued2015
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Primarily, we seek some exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation by using ETEM. Then, we research dark soliton solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation by using GKM. Lastly, according to the values of some parameters, we draw two and three dimensional graphics of imaginary and real values of certain solutions found by utilizing both methods.
dc.identifier.doi10.3390/e17096025
dc.identifier.endpage6043
dc.identifier.issn1099-4300
dc.identifier.issue9
dc.identifier.orcid0000-0002-6089-1517
dc.identifier.orcid0000-0002-8027-7290
dc.identifier.scopus2-s2.0-84945162582
dc.identifier.scopusqualityQ1
dc.identifier.startpage6025
dc.identifier.urihttps://doi.org/10.3390/e17096025
dc.identifier.urihttps://hdl.handle.net/11508/56718
dc.identifier.volume17
dc.identifier.wosWOS:000362513400006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofEntropy
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectnew Hamiltonian amplitude equation
dc.subjectFokas-Lenells equation
dc.subjectextended trial equation method
dc.subjectgeneralized Kudryashov method
dc.subjectrational function solution
dc.subjecttravelling wave solution
dc.subjecthyperbolic function solution
dc.subjectdark soliton solution
dc.titleNew Exact Solutions of the New Hamiltonian Amplitude Equation and Fokas-Lenells Equation
dc.typeArticle

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