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Fractional optical solitons for the conformable space–time nonlinear Schrödinger equation with Kerr law nonlinearity

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Abstract

In this work, we obtain new soliton solutions for the conformable space–time nonlinear Schrödinger equation (CSTNLSE) with Kerr law nonlinearity. Two integration schemes which are projective Ricatti and extended Jacobi elliptic function methods are applied to reach such solutions. The constraints conditions for the existence of soliton solutions are reported. Numerical simulations for some of the obtained solutions are presented.

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Authors and Affiliations

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

    Mustafa Inc, Abdullahi Yusuf & Aliyu Isa Aliyu

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

    Abdullahi Yusuf & Aliyu Isa Aliyu

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

    Dumitru Baleanu

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

    Dumitru Baleanu

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

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Inc, M., Yusuf, A., Aliyu, A.I. et al. Fractional optical solitons for the conformable space–time nonlinear Schrödinger equation with Kerr law nonlinearity. Opt Quant Electron 50, 139 (2018). https://doi.org/10.1007/s11082-018-1410-7

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