Optical <i>Gaussons</i> in Dual-Core Nano-Fibers

Younis, Muhammad; Nadia, .; Rizvi, Sayed Tahir Raza; Mahmood, Mohammad F.; Zhou, Qin; Zerrad, Essaid; Biswas, Anjan; Belić, Milivoj R.

doi:10.1166/jctn.2015.4711

“…Breeding in a directional coupler is modeled by the system of equation of coupled nonlinear Schrödinger equation (NLSE) [27] and the dual core optical fibers equation [28][29][30][31][32] is one of them. As per our knowledge, few researchers has been studied the dual core optical fibers equation via different schemes namely, Younis et al [28] through the ( ′ ) ⁄ -expansion method, Abdelrahman and Moaaz [29] used Riccati-Bernoulli sub-ODE method, Nair et al [30] via modulational instability (MI) analysis, Baskonus et al [31] via the extended sinh-Gordon equation expansion method, Shamseldeen et al [32] via linear stability analysis.…”

Section: Introductionmentioning

confidence: 99%

Study of the parametric effects on soliton propagation in optical fibers through two analytical methods

Islam

¹

,

Matkan

²

2021

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The dual-core optical fiber has significant applications in optical electronics for long-wave propagation, especially in telecommunication fibers. The aim of this article is to study the parametric effects on solitary wave propagation and characteristic aspects of long-wave traveling through optical fibers by establishing some standard and wide-spectrum solutions via the improved Bernoulli sub-equation function (IBSEF) method and the new auxiliary equation (NAE) approach. The investigated solitary wave solutions are ascertained as an integration of hyperbolic, exponential, rational and trigonometric functions and can be extensively applicable in optics. The physical significance of the solutions attained is illustrated for the definite values of the included parameters through depicting the 3D profiles. The solitons profile represents different types of waves associated with the free parameters which are related to the wave number and velocity of the solutions. It turns out that the obtained solutions through both the methods are potential and might be used in further works to interpret the various fields in telecommunication fiber which can reduce casualties that ensue in essence.

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“…In recent years, the nonlinear Schrödinger equation has gotten remarkable attention among researchers. Younis et al [26] applied ansatz techniques to acquire bright, dark, and singular soliton solutions for equation (1) with Kerr law and power-law nonlinearities. The conditions for the existence of the solitons are also given in [27].…”

Section: Introductionmentioning

confidence: 99%

“…Younis et al [26] applied ansatz techniques to acquire bright, dark, and singular soliton solutions for equation (1) with Kerr law and power-law nonlinearities. The conditions for the existence of the solitons are also given in [27]. Haci et al [25] employed extended Sinh-Gordon equation expansion method to obtain dark, bright, combined dark-bright, singular, and combined singular soliton solutions to the decoupled nonlinear Schrödinger equation.…”

Section: Introductionmentioning

confidence: 99%

Optical solitons for the decoupled nonlinear Schrödinger equation using Jacobi elliptic approach

Sabi’u¹,

Tala-Tebue²,

Rezazadeh³

et al. 2021

Commun. Theor. Phys.

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Most of the important aspects of soliton propagation through optical fibers for transcontinental and transoceanic long distances can best be described using the nonlinear Schrödinger equation. Optical solitons are electromagnetic waves that span in nonlinear dispersive media and permit the stress and intensity to stay unaltered as a result of the delicate balance between dispersion and nonlinearity effects. However, this study exploited the Jacobi elliptic method and obtained different soliton solutions of the decoupled nonlinear Schrödinger equation with ease. Discussions about the obtained solutions were made with the aid of some 3D graphs.

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“…Breeding in a directional coupler is modeled by the system of equation of coupled nonlinear Schrödinger equation (NLSE) [27] and the dual core optical fibers equation [28][29][30][31][32] is one of them. As per our knowledge, few researchers has been studied the dual core optical fibers equation via different schemes namely, Younis et al [28] through the (𝐺′ 𝐺) ⁄ -expansion method, Abdelrahman and Moaaz [29] used Riccati-Bernoulli sub-ODE method, Nair et al [30] via modulational instability (MI) analysis, Baskonus et al [31] via the extended sinh-Gordon equation expansion method, Shamseldeen et al [32] via linear stability analysis.…”

Section: Introductionmentioning

confidence: 99%

Study of the Parametric Effects on Soliton Propagation in Optical Fibers through Two Analytical Methods

Islam

¹

,

Akbar

²

2021

Preprint

0

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The dual-core optical fiber has significant applications in optical electronics for long-wave propagation, especially in telecommunication fibers. The aim of this article is to study the parametric effects on solitary wave propagation and characteristic aspects of long-wave traveling through optical fibers by establishing some standard and wide-spectrum solutions via the improved Bernoulli sub-equation function (IBSEF) method and the new auxiliary equation (NAE) approach. The investigated solitary wave solutions are ascertained as an integration of hyperbolic, exponential, rational and trigonometric functions and can be extensively applicable in optics. The physical significance of the solutions attained is illustrated for the definite values of the included parameters through depicting the 3D profiles. The solitons profile represents different types of waves associated with the free parameters which are related to the wave number and velocity of the solutions. It turns out that the obtained solutions through both the methods are potential and might be used in further works to interpret the various fields in telecommunication fiber which can reduce casualties that ensue in essence.

show abstract

Optical Gaussons in Dual-Core Nano-Fibers

Cited by 7 publications

References 0 publications

Study of the parametric effects on soliton propagation in optical fibers through two analytical methods

Study of the parametric effects on soliton propagation in optical fibers through two analytical methods

Optical solitons for the decoupled nonlinear Schrödinger equation using Jacobi elliptic approach

Study of the Parametric Effects on Soliton Propagation in Optical Fibers through Two Analytical Methods

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