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

Z. Hammouch; T. Mekkaoui; P. Agarwal

doi:10.1140/epjp/i2018-12096-8

EPJ

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2022 Impact factor 3.4

EPJ PLUS - Condensed Matter and Complex Systems

Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation

Eur. Phys. J. Plus (2018) 133: 248
https://doi.org/10.1140/epjp/i2018-12096-8

Regular Article

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

Z. Hammouch¹, T. Mekkaoui¹^* and P. Agarwal²

¹ E3MI, Département de Mathématiques, FST Errachidia Université Moulay Ismail, BP.509, 52000, Errachidia, Morocco
² Anand College of Engineers, Jaipur, India

^* e-mail: toufik_mekkaoui@yahoo.it

Received: 21 January 2018
Accepted: 9 April 2018
Published online: 3 July 2018

Abstract

In this article, we construct new explicit solutions for a time-fractional nonlinear Calogero-Bogoyavlenskii-Schiff equation in dimensions with conformable derivative with the help of the -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.