Solitons in magneto–optic waveguides with quadratic–cubic nonlinearity

Zayed, Elsayed M.E.; Shohib, Reham M.A.; El‐Horbaty, Mahmoud; Biswas, Anjan; Asma, Mir; Ekici, Mehmet; Alzahrani, Abdullah; Belić, Milivoj R.

doi:10.1016/j.physleta.2020.126456

Cited by 34 publications

(22 citation statements)

References 7 publications

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“…The last decade has witnessed a highlight of the virtue of optical soliton solutions under the effects of nonlinear dispersion parameters, nonlinearity terms including normal/anomalous dispersion regime. Numerous works have been carried out to stress their importance in the quadratic-cubic (QC) type [1][2][3][4][5][6][7][8][9][10][11]. Very recently, some investigations have presented other optical soliton solutions obtained in a different context [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…The effects are related to the external magnetic field or permanent magnetization [19]. In order to study the propagation of solitons in magneto-optical waveguides that carry the QC nonlinearity often described by a coupled system of nonlinear Schrödinger equations, Zayed et al proposed several solutions and optical solitons [11]. Their proposed solutions are investigated based on the assumptions that the solutions of the two lines of the coupled NLSEs are proportional to each other.…”

Section: Introductionmentioning

confidence: 99%

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Coupled sn-cn, sn-dn, cn-dn Jacobi elliptic functions and solitons solutions in magneto-optic waveguides with quadratic-cubic nonlinearity

Yomba¹

2022

Phys. Scr.

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The current paper is dedicated to the study of the propagation of progressive solitons in magneto-optical waveguides that carry the quartic-cubic nonlinearity described by a coupled system of of nonlinear Schrödinger equations. In this direction, we take the help of a modiﬁed F-expansion method which allows us to widen the class of solutions to these coupled equations and permit the propagation of diﬀerent waves in the two channels. First of all, we constructed the solutions in terms of Jacobi elliptic functions in the forms of dn−sn, dn−cn, and cn − sn. After that, we obtained the progressive soliton solutions when these functions approached their limiting values with regards to the modulus of ellipticity. The progressive solutions include bright-dark soliton, bright-bright soliton, dark-dark soliton, bright-front soliton, dark-front soliton. In addition, we present the Figures 1-6 which graphically exhibit the representative structures of each explicit solution for some special parameter values.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupled sn-cn, sn-dn, cn-dn Jacobi elliptic functions and solitons solutions in magneto-optic waveguides with quadratic-cubic nonlinearity

Yomba¹

2022

Phys. Scr.

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“…In recent times nonlinear evolution equations (NLEEs) and its solutions has become more interesting area for researchers to illustrate the physical structures of nonlinear phenomena that appear in the diverse fields of science and engineering. Deriving the exact solutions, particularly solitary wave solutions of NLEEs are most noteworthy to examine the wave phenomena that observed in various fields like fluid mechanics, optical fibers optical fibers, chemistry, biology, physics, chemical kinematics etc [1][2][3][4][5][6][7][8]. Therefore, extracting solitary wave solutions to NLEEs is becoming an fascinating field in nonlinear sciences day by day.…”

Section: Introductionmentioning

confidence: 99%

Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation

et al. 2021

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In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic, rational, trigonometric as well as Jacobi elliptic function solutions are obtained. The innovative methodology used to extract the solitary wave is known as Φ6-model expansion method. Moreover, the modulation instability (MI) analysis of governing equation is also discussed. Against the appropriate choices of parameters, two and three dimensional and contour graphs are also sketched. The obtained outcomes are more general and fresh and show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations.

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“…Solitons in magneto-optic waveguides with parabolic law nonlinearity by Jacobi's elliptic function expansion method are developed in [31]. Solitons in magneto-optic waveguides with quadratic-cubic nonlinearity by Riccati equation expansion method are derived in [32]. Finally, solitons in magneto-optic waveguides with anti-cubic (AC) nonlinearity by Jacobi's elliptic function are extracted in [33].…”

Section: Introductionmentioning

confidence: 99%

Optical singular and dark solitons to the nonlinear Schrodinger equation in magneto-optic waveguides with anti-cubic nonlinearity.

Mathanaranjan

Rezazadeh

Şenol

et al. 2021

Preprint

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The present paper aims to investigate the coupled nonlinear Schrodinger equation (NLSE) 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'/G)-expansion method, the modified simple equation method (MSEM), and the extended tanh-function method are utilized to find the exact soliton solutions of this model. Consequently, dark, singular and combined dark-singular soliton solutions are obtained. The behaviours of soliton solutions are presented by 3D and 2D plots.

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Solitons in magneto–optic waveguides with quadratic–cubic nonlinearity

Cited by 34 publications

References 7 publications

Coupled sn-cn, sn-dn, cn-dn Jacobi elliptic functions and solitons solutions in magneto-optic waveguides with quadratic-cubic nonlinearity

Coupled sn-cn, sn-dn, cn-dn Jacobi elliptic functions and solitons solutions in magneto-optic waveguides with quadratic-cubic nonlinearity

Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation

Optical singular and dark solitons to the nonlinear Schrodinger equation in magneto-optic waveguides with anti-cubic nonlinearity.

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