https://doi.org/10.1140/epjp/s13360-023-04497-x
Regular Article
Stochastic optical solitons of the perturbed nonlinear Schrödinger equation with Kerr law via Ito calculus
1
Mathematical Engineering Department, Yildiz Technical University, Istanbul, Turkey
2
Computer Engineering Department, Biruni University, Istanbul, Turkey
3
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, 76062, Jamshoro, Pakistan
4
Department of Mathematics, Near East University, 99138, Mersin, Turkey
5
Department of Computer Science and Mathematics, Lebanese American University, P.O. Box 13 5053, Beirut, Lebanon
Received:
4
July
2023
Accepted:
17
September
2023
Published online:
30
September
2023
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
