Eur. Phys. J. Plus (2021) 136: 161
https://doi.org/10.1140/epjp/s13360-021-01113-8

Regular Article

Soliton solutions, soliton-type solutions and rational solutions for the coupled nonlinear Schrödinger equation in magneto-optic waveguides

¹ School of Science, University of Management and Technology. C-II, Johar Town, Lahore, Pakistan
² Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa
³ Department of Mathematics, Namal Institute, 30 Km Talagang Road, 42250, Mianwali, Pakistan

^a bilal.riaz@umt.edu.pk, bilalsehole@gmail.com

Received: 4 December 2020
Accepted: 12 January 2021
Published online: 1 February 2021

Abstract

The present paper aims to investigate the solitonic structures present in coupled nonlinear Schrödinger equation (NLSE). We have examined the system for generalized anticubic (AC) nonlinearty for which AC nonlinearity falls as a special case for $m=1$. We have focused the study of coupled NLSE to understand the magneto-optic behaviour. We have used new Direct Algebraic method to calculate solitonic structures. Moreover, we have presented two and three dimensional solitonic structures to understand the system in detail. Finally, a discussion on obtained results is given right before conclusion.