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Modulation instability, stability analysis and soliton solutions to the resonance nonlinear Schrödinger model with Kerr law nonlinearity

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Abstract

In the theory of optical fibres, the nonlinear Schrödinger equation is one of the most significant physical models for understanding the dynamics of optical soliton proliferation. Optical soliton propagation in nonlinear optical fibres is a topic of considerable contemporary interest due to the wide range of applications for ultrafast signal routing systems and short light pulses in communications. Our basic objective of this investigation is to use different modern analytical techniques to develop several soliton solutions for the resonance model. As an outcome, a variety of periodic solitons and singular bell shaped solitons solutions are obtained. Furthemore, the findings of stability as well as its modulation instabilities are effectively analyzed. The adapted schemes seem very impressive and competent avenue to obtained several advanced moving pulse shapes of different coincident pattern in the recent decade.

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Acknowledgements

The authors would like to extend their sincere appreciation to Researchers Supporting Project Number (RSPD2023R802) King Saud University, Riyadh, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, Mirpur University of Science and Technology, Mirpur, AJK, 10250, Pakistan

    Kalim U. Tariq & S. M. Raza Kazmi

  2. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Mustafa Inc

  3. Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    Reem K. Alhefthi

Authors
  1. Kalim U. Tariq
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  2. Mustafa Inc
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  3. S. M. Raza Kazmi
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  4. Reem K. Alhefthi
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Contributions

Conceptualization; Methodology: [Kalim U. Tariq; Formal analysis and investigation: [Mustafa Inc]; Writing - original draft preparation: [S.M. Raza Kazmi]; Writing - review and editing: [Reem Alhefthi]

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Tariq, K.U., Inc, M., Kazmi, S.M.R. et al. Modulation instability, stability analysis and soliton solutions to the resonance nonlinear Schrödinger model with Kerr law nonlinearity. Opt Quant Electron 55, 838 (2023). https://doi.org/10.1007/s11082-023-05046-7

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