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Soliton structures of a nonlinear Schrödinger equation involving the parabolic law

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Abstract

The search for soliton structures plays a pivotal role in many scientific disciplines particularly in nonlinear optics. The main concern of the present paper is to explore the dynamics of soliton structures in a nonlinear Schrödinger (NLS) equation with the parabolic law. In this respect, the reduced form of the NLS equation is firstly extracted; then, its soliton structures are derived in the presence of spatio-temporal dispersions using the Kudryashov method. As the completion of studies, the impact of increasing and decreasing the coefficients of the parabolic law on the dynamics of soliton structures is formally addressed through representing several two- and three-dimensional figures.

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Authors and Affiliations

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

    S. Salahshour

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

    K. Hosseini

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

    M. Mirzazadeh

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

    D. Baleanu

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

    D. Baleanu

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

    D. Baleanu

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

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Salahshour, S., Hosseini, K., Mirzazadeh, M. et al. Soliton structures of a nonlinear Schrödinger equation involving the parabolic law. Opt Quant Electron 53, 672 (2021). https://doi.org/10.1007/s11082-021-03325-9

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