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

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Abstract

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.

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Data Availability

The datasets produced and/or analysed during the current study are accessible from the corresponding author on reasonable request.

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Acknowledgements

The authors would like to express their gratitude to the reviewers and the assistant editor for their insightful suggestions that helped to improve the work.

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  1. Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar, Odisha, 751024, India

    A. Tripathy & S. Sahoo

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  1. A. Tripathy
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  2. S. Sahoo
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Tripathy, A., Sahoo, S. New optical behaviours of the time-fractional Radhakrishnan-Kundu-Lakshmanan model with Kerr law nonlinearity arise in optical fibers. Opt Quant Electron 54, 232 (2022). https://doi.org/10.1007/s11082-022-03610-1

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