Abstract
The present paper aims to investigate the coupled nonlinear Schrödinger equation in magneto-optic waveguides having anti-cubic (AC) law nonlinearity. The solitons secured to magneto-optic waveguides with AC law nonlinearity are extremely useful to fiber-optic transmission technology. Three constructive techniques, namely, the $$(G^{\prime }/G)$$ -expansion method, the modified simple equation method, and the extended tanh method are utilized to find the exact soliton solutions of this model. Consequently, dark, singular, combined dark-singular and periodic soliton solutions are obtained. The behaviours of soliton solutions are presented by 3D and 2D plots.
Highlights
Many nonlinear physical phenomena arise in various fields of science and engineering such as quantum mechanics, fluid dynamics, molecular biology, nuclear dynamics plasma physics, solid state physics and optical fibres
Singular and combo optical solitons in magneto-optic waveguides with quadratic-cubic nonlinearity of coupled nonlinear Schrodinger equation (NLSE) are obtained in [30]
Our goal is to obtain the optical solitons to the NLSE in magneto-optic waveguides with AC nonlinearity, which was studied in [33], implementing the (G′/G)-expansion method, the extended tanh-function method, the modified simple equation method
Summary
Many nonlinear physical phenomena arise in various fields of science and engineering such as quantum mechanics, fluid dynamics, molecular biology, nuclear dynamics plasma physics, solid state physics and optical fibres. The optical soliton solutions of the coupled NLSE in magneto-optic waveguides with several perturbation terms are obtained in [27]. Singular and combo optical solitons in magneto-optic waveguides with quadratic-cubic nonlinearity of coupled NLSE are obtained in [30]. Solitons in magneto–optic waveguides with parabolic law nonlinearity by Jacobi’s elliptic function expansion method are developed in [31]. Our goal is to obtain the optical solitons to the NLSE in magneto-optic waveguides with AC nonlinearity, which was studied in [33], implementing the (G′/G)-expansion method, the extended tanh-function method, the modified simple equation method.
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