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Optical devices: motion via breathers, rogue waves and rational solitons

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Abstract

The main focus is on using the logarithmic transformation and symbolic computation with ansatz functions scheme to analyse solitons theoretically in the ring-cavity fibre laser system with carbon nanotubes acting as saturable absorber. The system is renowned as a non-standard Schrödinger model through the coefficients combined real and imaginary numbers. The governing model is used in ring-cavity fibre laser system using carbon nanotubes as saturable absorbers. We obtained Chirp-free soliton, Homoclinic breathers, M-shaped rational solitons, Multiwaves and their dynamics are revealed in plots by choosing the proper values of parameters. Additionally, four categories of interaction of M-shaped rational soliton with rogue wave, periodic wave and kink wave are studied. we accomplished the new structures and very fascinating interactional phenomena of M shaped soliton with kink waves. Furthermore, through a mixture of quadratic, cosine and hyperbolic transformations we obtained periodic cross rational solutions and via three wave transformation we generated multiwave solutions.

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Acknowledgements

The researchers would like to acknowledge Deanship of Scientific Research, Taif University for supporting this work.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan

    Ujala Rehman & Sarfaraz Ahmed

  2. Department of Mathematics and Statistics, Collage of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    Ali M. Mubaraki

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  1. Ujala Rehman
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Correspondence to Sarfaraz Ahmed.

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Rehman, U., Ahmed, S. & Mubaraki, A.M. Optical devices: motion via breathers, rogue waves and rational solitons. Opt Quant Electron 56, 851 (2024). https://doi.org/10.1007/s11082-024-06577-3

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