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Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2 + 1) dimensions with time-fractional conformable derivative

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Abstract.

In this article, we construct new explicit solutions for a time-fractional nonlinear Calogero-Bogoyavlenskii-Schiff equation in \((2+1)\) dimensions with conformable derivative with the help of the \(\tan (\phi(\xi)/2)\)-expansion method. The obtained solutions are expressed by different kinds of functions, such as exponential, hyperbolic and trigonometric ones. The solutions might be very useful in physics and engineering sciences.

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Authors and Affiliations

  1. E3MI, Département de Mathématiques, FST Errachidia Université Moulay Ismail, BP.509, 52000, Errachidia, Morocco

    Z. Hammouch & T. Mekkaoui

  2. Anand College of Engineers, Jaipur, India

    P. Agarwal

Authors
  1. Z. Hammouch
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  2. T. Mekkaoui
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  3. P. Agarwal
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Correspondence to T. Mekkaoui.

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Hammouch, Z., Mekkaoui, T. & Agarwal, P. Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2 + 1) dimensions with time-fractional conformable derivative. Eur. Phys. J. Plus 133, 248 (2018). https://doi.org/10.1140/epjp/i2018-12096-8

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  • DOI: https://doi.org/10.1140/epjp/i2018-12096-8

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