Modulation instability analysis and soliton solutions of the modified BBM model arising in dispersive medium

dc.contributor.authorYao, Shao-Wen
dc.contributor.authorTariq, Kalim U.
dc.contributor.authorİnç, Mustafa
dc.contributor.authorTufail, R. Nadir
dc.date.accessioned2026-08-12T16:57:49Z
dc.date.issued2023
dc.departmentFırat Üniversitesi
dc.description.abstractIn this article, a nonlinear dispersive structure namely the modified Benjamin-Bona-Mahony (BBM) model is studied by employing three different approaches to develop some new analytical and semi-analytical solutions. The modified extended tan hyperbolic function method, the improved F-expansion method and the Adomian decomposition method are implemented to obtain various interesting wave structures. The comparison among various types of solutions is analyzed to study the corresponding absolute error. Furthermore, the stability of the results along with the modulation instability are successfully deliberated. The 3D, contour and 2D graphs are visualized for several fascinating exact solutions to comprehend their behavior.
dc.description.sponsorshipNational Natural Science Foundation of China [71601072]; Key Scientific Research Project of Higher Education Institutions in Henan Province of China [20B110006]; Fundamental Research Funds for the Universities of Henan Province, China [NSFRF210314]
dc.description.sponsorshipFunding National Natural Science Foundation of China (No. 71601072) , Key Scientific Research Project of Higher Education Institutions in Henan Province of China (No. 20B110006) , and the Fundamental Research Funds for the Universities of Henan Province, China (No. NSFRF210314) .
dc.identifier.doi10.1016/j.rinp.2023.106274
dc.identifier.issn2211-3797
dc.identifier.orcid0000-0003-4996-8373
dc.identifier.orcid0000-0003-0300-6515
dc.identifier.scopus2-s2.0-85147878430
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106274
dc.identifier.urihttps://hdl.handle.net/11508/46614
dc.identifier.volume46
dc.identifier.wosWOS:000944291500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectAnalytical and semi-analytical solutions
dc.subjectModified extended tan hyperbolic function
dc.subjectmethod
dc.subjectImprovedF-expansion method
dc.subjectAdomian decomposition method
dc.subjectStability analysis
dc.subjectModulation instability
dc.titleModulation instability analysis and soliton solutions of the modified BBM model arising in dispersive medium
dc.typeArticle

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