Publication:
Retrieval of Optical Solitons with Anti-Cubic Nonlinearity

Простая страница элемента
dc.contributor.authorOzisik, M.
dc.contributor.authorSecer, A.
dc.contributor.authorBayram, M.
dc.contributor.authorBiswas, A.
dc.date.accessioned2024-12-28T09:45:36Z
dc.date.available2024-12-28T09:45:36Z
dc.date.issued2023
dc.description.abstractPurpose: In this article, two main subjects are discussed. First, the nonlinear Schrodinger equation (NLSE) with an anti-cubic (AC) nonlinearity equation is examined, which has a great working area, importance and popularity among the study areas of soliton behavior in optical fibers, by using the enhanced modified extended tanh expansion method and a wide range of optical soliton solutions is obtained. Second, the effects of AC parameters on soliton behavior are examined for each obtained soliton type. Methodology: In order to apply the method, the non-linear ordinary differential equation form (NLODE) of the investigated NLSE-AC is obtained by applying the defined wave transformation. Then, with the help of the proposed algorithm for the NLODE form, polynomial form, an algebraic equation system is obtained by setting the coefficients of this form to zero, and the solution of this system is also obtained. After determining the suitable solution set, the optical soliton solution of the investigated problem is obtained with the help of the serial form of the proposed method, a Riccati solution and wave transform. After checking that the solution satisfies the investigated problem, 3D and 2D graphics are obtained for the special parameter values and the necessary comments are made in the relevant sections. Findings: With the proposed method, many optical soliton solutions, such as topological, anti-peaked, combined peaked-bright, combined anti-peaked dark, singular, combined singular-anti peaked, periodic singular, composite kink anti-peaked, kink, periodic and periodic, with different amplitudes are obtained, and 3D and 2D representations have been made. Then, the effect of AC parameters on the soliton behavior in each case has been successfully studied. It has been shown that AC parameters have a significant effect on the soliton behavior, and this effect changes depending on the soliton shape and the parameters. Moreover, providing and maintaining the delicate balance between the soliton shape and the parameters and the interaction of the parameters with each other involves great difficulties. Originality: Although some soliton types of the NLSE-AC equation have been presented for the first time in this study, there is no study in the literature showing the effect of AC parameters on soliton behavior, especially for the NLSE-AC equation.
dc.identifier.citationRetrieval of Optical Solitons with Anti-Cubic Nonlinearity / Ozisik, M [et al.] // MATHEMATICS. - 2023. - 11. - № 5. - 10.3390/math11051215
dc.identifier.doi10.3390/math11051215
dc.identifier.urihttps://www.doi.org/10.3390/math11051215
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000947929200001
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/30060
dc.relation.ispartofMATHEMATICS
dc.subjectNonlinear Optics
dc.subjectNonlinear Schrödinger Equation
dc.subjectNonlinear Equations
dc.subjectNonlinear Photonic Systems
dc.subjectAlgebraic equation
dc.titleRetrieval of Optical Solitons with Anti-Cubic Nonlinearity
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue5
oaire.citation.volume11
Файлы
Original bundle
Теперь показываю 1 - 1 из 1
Уменьшенное изображение
Name:
W4322771546.pdf
Size:
2 MB
Format:
Adobe Portable Document Format
Description:
Download
Коллекции
Публикации