Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme

Arnous, Ahmed H.; Ekici, Mehmet; Moshokoa, Seithuti P.; Ullah, Malik Zaka; Biswas, Anjan; Belić, Milivoj R.

doi:10.12693/aphyspola.132.1399

Cited by 42 publications

(3 citation statements)

References 18 publications

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“…Several results were published addressing this problem during the past couple of decades . More recently, the study of wave propagation in couplers with optical metamaterials gained particular attention and important achievements were reported [1,2,19].…”

Section: Introductionmentioning

confidence: 99%

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

et al. 2020

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This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method. This model can be used to distribute light from a main fiber into one or more branch fibers. Two forms of optical couplers are considered, namely the twin- and multiple- core couplers. These couplers, which have applications as intensity-dependent switches and as limiters, are studied with four nonlinear items namely the Kerr, power, parabolic, and dual-power laws. The restrictions on the parameters for the existence of solutions are also examined. The 3D- and 2D figures are introduced to discuss the physical meaning for some of the gained solutions. The performance of the method shows the adequacy , power, and ability for applying to many other nonlinear evolution models.

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Section: Introductionmentioning

confidence: 99%

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

et al. 2020

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“…To cover soliton solutions of the NLDCs, several computational methods have been proposed and applied by researchers [20][21][22]. Along with them, TCCs studied by authors [23,24] in terms of integer order derivatives.…”

Section: Introductionmentioning

confidence: 99%

Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods

Odabasi Koprulu,

Pinar Izgi

2024

Journal of Mathematics

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The rapid advancements in metamaterial research have brought forth a new era of possibilities for controlling and manipulating light at the nanoscale. In particular, the design and engineering of optical metamaterials have created advances in the field of photonics, enabling the development of advanced devices with unprecedented functionalities. Among the myriad of intriguing metamaterial structures, the nonlinear directional couplers with beta derivative evolution have emerged as a significant avenue of exploration, offering remarkable potential for light propagation and manipulation. This study obtains the solitary wave solutions for twin-core couplers having spatial-temporal fractional beta derivative evolution by using two different methods, the Bernoulli method and the complete polynomial discriminant system method. By graphing some of the obtained solutions, the effect of the beta derivative has been shown. The findings would be beneficial to understand physical behaviours in nonlinear optics, particularly twin-core couplers with optical metamaterials.

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“…The experimental investigation of higher-order solitons is also reported in a waveguide array imprinted in a LiNbO3 crystal involving saturable nonlinearity [7]. Different useful and practical devices can be fabricated and designed using the solitons properties such as filters or high-speed routers [8], high-bit rate optical communication systems and ultra-fast information processing systems [9], couplers, magneto-optic waveguides [10], etc. Solitons can be described using different differential equations such as Burgers equation and Sharma-Tasso-Olver equation [11], classical Boussinesq equations [12], Vakhnenko-Parkes equation [13], clannish random walker's parabolic and the Vakhnenko-Parkes equations [14], Nonlinear Evolution Equations [15], Korteweg-de Vries equation [16], etc.…”

Section: Introductionmentioning

confidence: 99%

Solitons propagation dynamics in a saturable PT-symmetric fractional medium

Tehrani¹,

Solaimani²,

Ghalandari³

et al. 2021

Phys. Scr.

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In the current research, the propagation of solitons in a saturable PT-symmetric fractional system is studied by solving nonlinear fractional Schrödinger equation. Three numerical methods are employed for this purpose, namely Monte Carlo based Euler–Lagrange variational schema, split-step method, and extrapolation approach. The results show good agreement and accuracy. The effect of different parameters such as potential depth, Levy indices, and saturation parameter, on the physical properties of the systems such as maximum intensity and soliton width oscillations are considered.

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Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme

Cited by 42 publications

References 18 publications

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods

Solitons propagation dynamics in a saturable PT-symmetric fractional medium

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