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Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise

Author

Listed:
  • Elsayed M. E. Zayed

    (Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt)

  • Mohamed E. M. Alngar

    (Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo 11585, Egypt)

  • Reham M. A. Shohib

    (Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Cario 11835, Egypt)

Abstract

The current article studies optical solitons solutions for the dimensionless form of the stochastic resonant nonlinear Schrödinger equation (NLSE) with both spatio-temporal dispersion (STD) and inter-modal dispersion (IMD) having multiplicative noise in the itô sense. We will discuss seven laws of nonlinearities, namely, the Kerr law, power law, parabolic law, dual-power law, quadratic–cubic law, polynomial law, and triple-power law. The new auxiliary equation method is investigated. We secure the bright, dark, and singular soliton solutions for the model.

Suggested Citation

  • Elsayed M. E. Zayed & Mohamed E. M. Alngar & Reham M. A. Shohib, 2022. "Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3197-:d:906520
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    References listed on IDEAS

    as
    1. Mohammed, W.W. & El-Morshedy, M., 2021. "The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 192-202.
    2. Zhu, Bo-Wei & Fang, Yin & Liu, Wei & Dai, Chao-Qing, 2022. "Predicting the dynamic process and model parameters of vector optical solitons under coupled higher-order effects via WL-tsPINN," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    Full references (including those not matched with items on IDEAS)

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