Pure-Cubic Optical Soliton Solutions of the Nonlinear Schrödinger Equation Including Parabolic Law Nonlinearity in the Absence of the Group Velocity Dispersion

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dc.authorid0009-0005-2062-2872
dc.contributor.authorOzisik, Muslum
dc.contributor.authorAltun Durmus, Selvi
dc.contributor.authorSecer, Aydin
dc.contributor.authorBayram, Mustafa
dc.contributor.authorid226795
dc.date.accessioned2025-03-26T07:49:20Z
dc.date.available2025-03-26T07:49:20Z
dc.date.issued2025-03
dc.departmentRektörlüğe Bağlı Birimler, Rektörlüğe ait Yayınlar
dc.descriptionScience Citation Index Expanded (SCI-EXPANDED)
dc.description.abstractThis article investigates the third-order dimensionless nonlinear Schr & ouml;dinger equation with a parabolic law media term, while deliberately excluding the group velocity dispersion term, which typically governs the propagation of ultrashort pulses. The Generalized Kudryashov approach, a powerful and novel technique, is applied for the first time to obtain pure-cubic optical soliton solutions for this model. Using this method, bright, kink, and dark soliton solutions are derived. To illustrate the dynamics and physical properties of these solutions, 2D, contour, and 3D visualizations are presented. In particular, 2D plots with carefully selected parameter values are provided to investigate how the presence of the parabolic law media term and the absence of the group velocity dispersion term influence soliton behavior. The results clearly demonstrate the physical relevance of the model and emphasize the effectiveness of the Generalized Kudryashov approach as a reliable technique for obtaining analytical solutions to the equation under consideration.
dc.identifier.citationOzisik, M., Altun Durmus, S., Secer, A. & Bayram, M. (2025). Pure-Cubic Optical Soliton Solutions of the Nonlinear Schrödinger Equation Including Parabolic Law Nonlinearity in the Absence of the Group Velocity Dispersion. International Journal of Theoretical Physics, 64(4), 1-17. https://doi.org/10.1007/s10773-025-05950-6
dc.identifier.doi10.1007/s10773-025-05950-6
dc.identifier.eisbn1572-9575
dc.identifier.endpage17
dc.identifier.issn0020-7748
dc.identifier.issue4
dc.identifier.startpage1
dc.identifier.urihttps://dspace.mudanya.edu.tr/handle/20.500.14362/307
dc.identifier.volume64
dc.identifier.wosqualityQ3
dc.institutionauthorAltun Durmus, Selvi
dc.language.isoen
dc.publisherSpringer
dc.relation.journalInternational Journal of Theoretical Physics
dc.relation.publicationcategoryMakale- Uluslararası- Hakemli Dergi- Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSoliton molecule
dc.subjectNonlinear effect
dc.subjectGeneralized Kudryashov method
dc.subjectThird-order dispersion
dc.titlePure-Cubic Optical Soliton Solutions of the Nonlinear Schrödinger Equation Including Parabolic Law Nonlinearity in the Absence of the Group Velocity Dispersion
dc.typeMakale
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