DSpace Repository

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Show simple item record

dc.contributor.author Riaz, Muhammad Bilal
dc.contributor.author Jhangeer, Adil
dc.contributor.author Awrejcewicz, Jan
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Tahir, Sana
dc.date.accessioned 2024-03-28T12:18:05Z
dc.date.available 2024-03-28T12:18:05Z
dc.date.issued 2022-03
dc.identifier.citation Riaz, Muhammad Bilal;...et.al. (2022). tr_TR
dc.identifier.issn 15551415
dc.identifier.uri http://hdl.handle.net/20.500.12416/7788
dc.description.abstract This study is dedicated to the computation and analysis of solitonic structures of a nonlinear Sasa–Satsuma equation that comes in handy to understand the propagation of short light pulses in the monomode fiber optics with the aid of beta derivative and truncated M-fractional derivative. We employ a new direct algebraic technique for the nonlinear Sasa–Satsuma equation to derive novel soliton solutions. A variety of soliton solutions are retrieved in trigonometric, hyperbolic, exponential, rational forms. The vast majority of obtained solutions represent the lead of this method on other techniques. The prime advantage of the considered technique over the other techniques is that it provides more diverse solutions with some free parameters. Moreover, the fractional behavior of the obtained solutions is analyzed thoroughly by using two and three-dimensional graphs. This shows that for lower fractional orders, i.e., b ¼ 0:1, the magnitude of truncated M-fractional derivative is greater whereas for increasing fractional orders, i.e., b ¼ 0:7 and b ¼ 0:99, the magnitude remains the same for both definitions except for a phase shift in some spatial domain that eventually vanishes and two curves coincide. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1115/1.4052876 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Beta Derivative tr_TR
dc.subject Direct Algebraic Method tr_TR
dc.subject Nonlinear Sasa–Satsuma Equation tr_TR
dc.subject Soliton Solutions tr_TR
dc.subject Truncated M- Fractional Derivative tr_TR
dc.title Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational and Nonlinear Dynamics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record