New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index

Zahran, Emad H. M.; Bekir, Ahmet

doi:10.1007/s11082-021-03330-y

Cited by 23 publications

(4 citation statements)

References 37 publications

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“…In another report [24], they recovered bright, dark, and singular solitons by Riccati function approach, sine-Gordon function technique, and Fexpansion scheme. Additionally, Zahran and Bekir [25] implemented extended simple equation method to recover some periodic and singular type solutions by taking four forms of nonlinearity. But in all these studies, their model equation is identical with this considered STF-CQNLSE when the parametric value μ = 1 is taken only.…”

Section: Graphical Representations and Discussionmentioning

confidence: 99%

“…Recently, a group of researchers [19][20][21][22] have made a momentous effort to recover a slew of remarkable results for CQ optical solitons in Bragggratings fiber, magneto-optic wave-guides described by NLSEs and the newly proposed Biswas-Milovic equation. Besides, a few results have been reported on CQ solitons in birefringent fibres with different laws of refractive index using various efficient mathematical methodologies [23][24][25][26][27]. Therefore, it is imperative to focus on the previous studies along with their limitations as a follow-up.…”

Section: Introductionmentioning

confidence: 99%

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Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

Uddin

Hafez

2022

Advances in Mathematical Physics

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The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter.

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Section: Graphical Representations and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

Uddin

Hafez

2022

Advances in Mathematical Physics

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“…Indeed, we concentrate our attention on the nonlinear Schrödinger equation that models the dynamic of waves in such materials. The arising solitons and other analytical solutions to different forms of Schrödinger models have been widely studied by the authors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The few-cycle pulse propagation in metamaterials specially is one of nonlinear Schrödinger applications and its solutions are helpful to understands more deeply the concerned materials.…”

Section: -Introductionmentioning

confidence: 99%

New lump solutions to the nonlinear Schrödinger equation under the few-cycle pulse propagation property

Zahran

Bekir²

2023

Preprint

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Throughout this work, we will derive new various types of lump solutions to the nonlinear Schrödinger equation that describing few-cycle pulse propagation in metamaterials. The propagation of waves through optical fibre is one of recent phenomenon that plays fundamental rule in all telecommunication processes as well as medicine devices industries, ocean engineering devices technologies. The lump solutions of this model will be firstly constructed in this article via three various techniques which are the (G’/G)-expansion method, the extended simple equation method (ESEM) and the Paul-Painleve approach method (PPAM). These three techniques have been regularly implemented in parallel paths to show the agreements between the output results. When the comparison between our achieved results with each other’s as well as by that achieved previously has been implemented, it shows the novelty of these results.

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“…Most of these methods are included in Refs. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. In the literature, recent studies have been introduced to discuss these suggested equations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamical wave structures of Zoomeron equation for population models

Bekir¹,

Zahran²

2022

Chinese Phys. B

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In this paper, the nonlinear dynamical exact wave solutions to the non-fractional order and the time-fractional order of the biological population models are achevied for the first time in the framwork of the Paul-Painlevé approachmethod (PPAM). When the variables appearing in the exact solutions take specific values, the solaitry wave solutions will be easily satisfied.The realized results prove the efficiency of this technique.

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New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index

Cited by 23 publications

References 37 publications

Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

New lump solutions to the nonlinear Schrödinger equation under the few-cycle pulse propagation property

Nonlinear dynamical wave structures of Zoomeron equation for population models

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