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Chaos-induced soliton dynamics in a gain-assisted rubidium medium

Author

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  • Hayat, Muhsin
  • Ahmad, Waqar
  • Alam, Mohammad Mahtab
  • Maiz, F.
  • Khalifa, Hamiden Abd El-Wahed

Abstract

This study investigates the behaviour of self-localized optical modes derived from the Rodrigue form of Legendre polynomials propagating through a gain-assisted atomic medium. The optical pulses demonstrate significant spatiotemporal changes, exhibiting patterns of localized intensity peaks and intensity dips on a continuous wave background. These unique dynamics are coherently manipulated by applied pump and coupled driving fields, which are also generated from the Rodrigue form of Legendre polynomials. The maximum localized intensity of these pulses can be precisely tuned from 0.002% to 100% with changes in position, time, and the intensity of the control field. The spatial location of the peak intensity is shown to shift depending on the decay rates and driving field parameters. The resulting modified pulse dynamics apply to areas including DNA dynamics, heartbeat modelling, and ultrasound imaging and therapy.

Suggested Citation

  • Hayat, Muhsin & Ahmad, Waqar & Alam, Mohammad Mahtab & Maiz, F. & Khalifa, Hamiden Abd El-Wahed, 2026. "Chaos-induced soliton dynamics in a gain-assisted rubidium medium," Chaos, Solitons & Fractals, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:chsofr:v:206:y:2026:i:c:s0960077926001220
    DOI: 10.1016/j.chaos.2026.117981
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