New optical behaviours of the time-fractional Radhakrishnan-Kundu-Lakshmanan model with Kerr law nonlinearity arise in optical fibers

In this paper, the time-fractional Radhakrishnan-Kundu-Lakshmanan equation with Kerr law nonlinearity is studied to obtain the new optical solutions. To get the solutions an effective method is applied namely, the modified Khater method. The reported solutions take the form of various wave patterns,...

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Bibliographic Details
Published inOptical and quantum electronics Vol. 54; no. 4
Main Authors Tripathy, A., Sahoo, S.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.04.2022
Springer Nature B.V
Subjects
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Fiber optics
Graphical representations
Lasers
Nonlinearity
Optical Devices
Optical fibers
Optics
Photonics
Physics
Physics and Astronomy
Solitary waves
Modified Khater method
Optical solutions
34A34
35G50
Fractional Radhakrishnan-Kundu-Lakshmanan equation (FRKLE)
78A60
35C08
Fractional derivative
35C07
47J35
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Summary:In this paper, the time-fractional Radhakrishnan-Kundu-Lakshmanan equation with Kerr law nonlinearity is studied to obtain the new optical solutions. To get the solutions an effective method is applied namely, the modified Khater method. The reported solutions take the form of various wave patterns, including kink, anti-kink, anti-peakon, grey type periodic, bright, dark, periodic and singular solutions. These dynamics are analysed thoroughly by means of the graphical representation which shows the functionality and reliability of the proposed method. In addition, based on these solutions, the behaviour of the pulses in fiber optics can be estimated when required in a design.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-022-03610-1