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Beta derivative applied to dark and singular optical solitons for the resonance perturbed NLSE

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Abstract.

In this research we obtain some dark and singular solitons for the resonance perturbed nonlinear Schrödinger equation (NLSE) with beta derivative (BD). Two well-known analytical approaches have been utilised to extract the results. The constraints conditions are stated for the well-being and existence of the results. Some figures have been plotted to demonstrate the physical behavior of the obtained solutions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Firat University, Science Faculty, 23119, Elazig, Turkey

    Abdullahi Yusuf & Mustafa Inc

  2. Department of Mathematics, Federal University Dutse, Science Faculty, 7156, Jigawa, Nigeria

    Abdullahi Yusuf & Aliyu Isa Aliyu

  3. Department of Mathematics, Cankaya University, Ögretmenler Cad. 1406530, Ankara, Turkey

    Dumitru Baleanu

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

    Dumitru Baleanu

Authors
  1. Abdullahi Yusuf
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  2. Mustafa Inc
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  3. Aliyu Isa Aliyu
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  4. Dumitru Baleanu
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Correspondence to Dumitru Baleanu.

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Yusuf, A., Inc, M., Aliyu, A.I. et al. Beta derivative applied to dark and singular optical solitons for the resonance perturbed NLSE. Eur. Phys. J. Plus 134, 433 (2019). https://doi.org/10.1140/epjp/i2019-12810-0

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  • DOI: https://doi.org/10.1140/epjp/i2019-12810-0

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