Optical soliton solutions of the Chen–Lee–Liu equation in the presence of perturbation and the effect of the inter-modal dispersion, self-steepening and nonlinear dispersion

Özişik, M.N.; Bayram, Mustafa; Seçer, Aydın; Çinar, Melih

doi:10.1007/s11082-022-04216-3

Cited by 30 publications

(5 citation statements)

References 59 publications

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“…Such projects are on the table and the results of those research activities will be soon made visible to the knowledge-hungry scientists. The novel results from additional integration approaches, as well as other forms of analysis, would be disseminated all across that would align with the pre-existing approaches [11][12][13][14][15][16].…”

Section: Discussionmentioning

confidence: 99%

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Elsherbeny,

Mirzazadeh,

Arnous

et al. 2023

Contemp. Math.

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In this paper, we investigate the retrieval of optical bullets and domain walls in a novel context, considering the interplay of cross spatio-dispersive effects and employing Kudryashov' s proposed form of self-phase modulation. The integration of these two key elements represents a significant advancement in the field of nonlinear optics, enabling the recovery of optical structures with enhanced precision and control. We propose an enhanced Kudryashov’s approach, which overcomes the limitations of conventional methods and facilitates the retrieval of optical bullets and domain walls even in the presence of cross spatio-dispersive effects. Kudryashov' s self-phase modulation mechanism has proven to be a powerful tool in controlling the nonlinear dynamics of optical systems, offering unique opportunities to manipulate light waves through phase variations induced by the medium' s response to intense optical fields. The results presented herein offer new insights into the intricate interplay between self-phase modulation and spatio-dispersive effects in nonlinear optical systems. Moreover, our findings provide a promising avenue for developing novel applications in ultrafast all-optical signal processing, such as the manipulation of light bullets for high-speed data transmission and storage. The enhanced retrieval and control of optical bullets and domain walls are expected to have a profound impact on the advancement of nonlinear optics and its practical implications.

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Section: Discussionmentioning

confidence: 99%

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Elsherbeny,

Mirzazadeh,

Arnous

et al. 2023

Contemp. Math.

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“…One notable model among these is the nonlinear Chen-Lee-Liu (CLL) equation, which garners significant attention in nonlinear optics research. The CLL equation characterizes the behavior of light propagation in nonlinear optical fibers and can also manifest in optical couplers, meta-materials, and optoelectronic devices [29]. Since the inception of the CLL equation, numerous scholars have proposed and investigated various iterations of this equation.…”

Section: Introductionmentioning

confidence: 99%

“…Since the inception of the CLL equation, numerous scholars have proposed and investigated various iterations of this equation. Among these iterations, the integerordered perturbed CLL equation [29] takes the subsequent structure:…”

Section: Introductionmentioning

confidence: 99%

Abundant optical soliton solutions to the fractional perturbed Chen-Lee-Liu equation with conformable derivative

Islam,

Sagib,

Mamunur Rashid

et al. 2024

Phys. Scr.

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This research focuses on the space-time fractional nonlinear perturbed Chen-Lee-Liu model, which describes the propagation behavior of optical pulses in the fields of optical fiber and plasma. The equation is considered with respect to the conformable derivative, and a composite fractional wave transformation is employed to reformulate it into a nonlinear equation with a single variable. The improved tanh method has been applied to derive novel analytical wave solutions for the given equation. Consequently, various types of solitonic wave patterns emerge, including but not limited to periodic, bell-shpaed, anti-bell-shaped, v-shpaed, kink, and compacton solitonic structures. The acquired solutions could potentially aid in the analysis of signal transmission in optical fibers and the characterization of plasma properties. The physical interpretations of the solutions are investigated using three-dimensional surface plots and two-dimensional density plots. Additionally, combined two-dimensional plots are being used to discuss the effects of the order of the fractional derivative on the generated wave patterns. Moreover, this study demonstrates the efficacy and reliability of the chosen technique.

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“…In this paper, we consider the stochastic fractional Chen Lee Liu model (SFCLLM) as follows 25 : where is the the normalized electric-field envelope, is a conformable fractional derivative (CFD), a , b and are positive constants, and is the derivative of the Brownain motion …”

Section: Introductionmentioning

confidence: 99%

The solitary solutions for the stochastic fractional Chen Lee Liu model perturbed by multiplicative noise in optical fibers and plasma physics

Mohammed,

Iqbal,

Sidaoui

et al. 2024

Sci Rep

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In this paper, we consider the stochastic fractional Chen Lee Liu model (SFCLLM). We apply the mapping method in order to get hyperbolic, elliptic, rational and trigonometric stochastic fractional solutions. These solutions are important for understanding some fundamentally complicated phenomena. The acquired solutions will be very helpful for applications such as fiber optics and plasma physics. Finally, we show how the conformable derivative order and stochastic term affect the exact solution of the SFCLLM.

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Optical soliton solutions of the Chen–Lee–Liu equation in the presence of perturbation and the effect of the inter-modal dispersion, self-steepening and nonlinear dispersion

Cited by 30 publications

References 59 publications

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Abundant optical soliton solutions to the fractional perturbed Chen-Lee-Liu equation with conformable derivative

The solitary solutions for the stochastic fractional Chen Lee Liu model perturbed by multiplicative noise in optical fibers and plasma physics

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