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Soliton structures to some time-fractional nonlinear differential equations with conformable derivative

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Abstract

This research presents new soliton structures to some time-fractional nonlinear differential equations (TFNDEs) with conformable derivative. The powerful Ricatti–Bernoulli (RB) sub-ODE method is used to carry out the soliton solutions. Some of the obtained solutions include trigonometric, periodic wave and hyperbolic solutions. The constraint conditions for the existence of solitons are also presented. The RB sub-ODE method proves to be efficient and effective for the extraction of soliton structures for different types of TFNDEs. Some interesting figures for the numerical simulation of the obtained results are presented.

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Authors and Affiliations

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

    Mustafa Inc, Abdullahi Yusuf & Aliyu Isa Aliyu

  2. Department of Mathematics, Federal University Dutse, PMB 7156, Dutse, Jigawa State, Nigeria

    Abdullahi Yusuf & Aliyu Isa Aliyu

  3. Department of Mathematics, Cankaya University, Öğretmenler 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. Soliton structures to some time-fractional nonlinear differential equations with conformable derivative. Opt Quant Electron 50, 20 (2018). https://doi.org/10.1007/s11082-017-1287-x

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