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Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect

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Abstract

The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrödinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More precisely, after reducing the governing model describing ultra-short pulses in optical fibers in a one-dimensional domain, its optical solitons including the bright and dark solitons are derived through the modified Kudryashov (MK) method. The dynamical behavior of the bright and dark solitons is formally investigated for different sets of the involved parameters. It is shown that increasing and decreasing nonlinear dispersions lead to significant changes in the amplitude of the bright and dark solitons.

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Authors and Affiliations

  1. Department of Mathematics, Near East University TRNC, Mersin 10, Nicosia, Turkey

    K. Hosseini

  2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, PC, 44891-63157, Iran

    M. Mirzazadeh

  3. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey

    D. Baleanu

  4. Institute of Space Sciences, Magurele-Bucharest, Romania

    D. Baleanu

  5. Department of Medical Research, China Medical University, Taichung, 40447, Taiwan

    D. Baleanu

  6. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    S. Salahshour

  7. Department of Mathematics, Lafayette College, Easton, PA, USA

    L. Akinyemi

Authors
  1. K. Hosseini
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  2. M. Mirzazadeh
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  3. D. Baleanu
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  4. S. Salahshour
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  5. L. Akinyemi
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Correspondence to K. Hosseini.

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Hosseini, K., Mirzazadeh, M., Baleanu, D. et al. Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect. Opt Quant Electron 54, 177 (2022). https://doi.org/10.1007/s11082-022-03522-0

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