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Stochastic optical solitons of the perturbed nonlinear Schrödinger equation with Kerr law via Ito calculus

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Abstract

In this paper, we studied stochastic perturbed nonlinear Schrödinger equation in fibers with Kerr law nonlinearity. The investigated model is important for the optical pulse propagation in fibers. In addition, we introduced the stochastic version of the related model. We have used the F-expansion method to obtain optical soliton solutions. As a result of the implementation, we reached dark, bright, periodic-singular and periodic soliton solutions. Besides all, we have investigated the white noise effect on the obtained results by simulating the graphics. Moreover, we discussed the effects of some parameters by presenting them in 2D views. The strength face of this study are introducing the stochastic model, obtaining its solutions, investigating noise and parameter effects for the first time.

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Authors and Affiliations

  1. Mathematical Engineering Department, Yildiz Technical University, Istanbul, Turkey

    Ismail Onder, Handenur Esen & Muslum Ozisik

  2. Computer Engineering Department, Biruni University, Istanbul, Turkey

    Aydin Secer & Mustafa Bayram

  3. Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, 76062, Pakistan

    Sania Qureshi

  4. Department of Mathematics, Near East University, 99138, Mersin, Turkey

    Sania Qureshi

  5. Department of Computer Science and Mathematics, Lebanese American University, P.O. Box 13 5053, Beirut, Lebanon

    Sania Qureshi

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  1. Ismail Onder
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All parts contained in the research carried out by the authors through hard work and a review of the various references and contributions in the field of mathematics and Applied physics.

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Correspondence to Mustafa Bayram.

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Onder, I., Esen, H., Secer, A. et al. Stochastic optical solitons of the perturbed nonlinear Schrödinger equation with Kerr law via Ito calculus. Eur. Phys. J. Plus 138, 872 (2023). https://doi.org/10.1140/epjp/s13360-023-04497-x

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