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Effect of noise on wave solitons for (3+1)-dimensional nonlinear Schrödinger equation in optical fiber

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Abstract

We investigated the wave solitons for stochastic (3+1)-dimensional nonlinear Schrödinger equation with multiplicative white noise in the Itô sense which can be used to identify various nonlinear phenomena and mechanisms in the fields of optical fibers, physics, electric communication, engineering sciences and many others. The modified extended direct algebraic method is used to conduct the study. Many wave solutions are achieved like bright solitons, dark solitons, singular solitons, periodic wave solutions and singular periodic wave 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 Mathematics, Faculty of Basic Sciences, The German University in Cairo (GUC), P.O. Box 11835, Cairo, Egypt

    Karim K. Ahmed

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

    Hamdy M. Ahmed & Mohammed F. Shehab

  3. Department of Physics and Engineering Mathematics, Higher Institute of Engineering and Technology, P.O. Box 34517, Tanta, Egypt

    Wafaa B. Rabie

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  1. Karim K. Ahmed
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  2. Hamdy M. Ahmed
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  3. Wafaa B. Rabie
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  4. Mohammed F. Shehab
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The authors declare that the study was realized in collaboration with the same responsibility. All authors read and approved the manuscript

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Correspondence to Hamdy M. Ahmed.

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Ahmed, K.K., Ahmed, H.M., Rabie, W.B. et al. Effect of noise on wave solitons for (3+1)-dimensional nonlinear Schrödinger equation in optical fiber. Indian J Phys (2024). https://doi.org/10.1007/s12648-024-03222-3

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  • DOI: https://doi.org/10.1007/s12648-024-03222-3

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