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Optical solitons for the stochastic perturbed Schrödinger–Hirota equation using two different methods

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Abstract

Our goal in this paper is to obtain the stochastic wave solutions of the stochastic perturbed Schrödinger–Hirota equation. Our study mainly depends on applying the modified extended direct algebraic approach as well as the new Jacobi elliptic function method to get the soliton solutions and other exact solutions of our model of interest, such as bright solitons, singular solitons, periodic solutions and hyperbolic solutions. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths.

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Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

    Manar S. Ahmed & Hamdy M. Ahmed

  2. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

    Afaf A. S. Zaghrout

  3. Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt

    Islam Samir

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  1. Manar S. Ahmed
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  2. Afaf A. S. Zaghrout
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  3. Hamdy M. Ahmed
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  4. Islam Samir
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Ahmed, M.S., Zaghrout, A.A.S., Ahmed, H.M. et al. Optical solitons for the stochastic perturbed Schrödinger–Hirota equation using two different methods. J Opt (2023). https://doi.org/10.1007/s12596-023-01403-7

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