Quiescent Optical Solitons with Kudryashov’s Generalized Quintuple-Power and Nonlocal Nonlinearity Having Nonlinear Chromatic Dispersion

Arnous, Ahmed H.; Nofal, Taher A.; Biswas, Anjan; Khan, Salam; Moraru, Luminița

doi:10.3390/universe8100501

Cited by 16 publications

(3 citation statements)

References 28 publications

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“…These include the Painleve analysis, retrieval of solitons, and conservation laws with the usage of the undetermined coefficients and the multiplier approach respectively. Later, the trial equation approach was also implemented to recover the soliton solutions to the model [3][4][5][6][7]. Further down the road, several more studies were conducted.…”

Section: Introductionmentioning

confidence: 99%

A Fresh Perspective on the Concatenation Model in Optical Fibers with Kerr Law of Self-Phase Modulation

Jawad,

Biswas,

Yıldırım

et al. 2024

Engineering Science & Technology

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The current work revisits the concatenation model having Kerr law of self-phase modulation and takes a fresher look with three different forms of integration technologies. The extended simple equation approach, the tanh-coth method, and the improved modified extended tanh-function approach yielded a spectrum of soliton solutions to the model. These reveal a spectrum of 1-soliton solutions to the model and they are all classified as well. The surface plots are also presented.

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Section: Introductionmentioning

confidence: 99%

A Fresh Perspective on the Concatenation Model in Optical Fibers with Kerr Law of Self-Phase Modulation

Jawad,

Biswas,

Yıldırım

et al. 2024

Engineering Science & Technology

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“…The evolution of quiescent optical solitons has gained momentum and extreme importance ever since its first appearance about two decades ago [1][2][3][4][5]. The study of such solitons with nonlinear chromatic dispersion (CD) revealed quite a few results that have been reported all across the board [6][7][8][9][10]. Several models with nonlinear CD and various forms of self-phase modulation (SPM) structures have been studied [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Quiescent optical solitons for Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures

Elsherbeny,

Arnous,

Biswas

et al. 2024

Eur. Phys. J. Plus

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The focus of the current paper is on the retrieval of quiescent optical solitons from Fokas–Lenells equation with nonlinear chromatic dispersion and having quadratic–cubic as well as quadratic–cubic–quartic forms of self-phase modulation structures. Two integration algorithms are implemented to carry out to seek such soliton solutions. They are the enhanced Kudryashov’s approach and the projective Riccati equation approach. In this context, both linear temporal evolution and generalized temporal evolution effects are addressed. A full spectrum of quiescent optical solitons is thus recovered.

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“…As a result, until recently, the focus has been on managing CD rather than eliminating it altogether. Although studies on CD management and measurement date back to the 1980s, CD was formally introduced into the literature by Yan et al in 2006 [20], and CD-related investigations have remained among the most prominent topics in the realm of nonlinear optics [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Pure-Cubic Optical Solitons and Stability Analysis with Kerr Law Nonlinearity

Albayrak,

Ozisik,

Bayram

et al. 2023

Contemp. Math.

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In this research paper, we investigate the effects of third-order dispersion and nonlinear dispersion terms on soliton behavior for pure-cubic solitons in the absence of chromatic dispersion. The research proceeds in several stages. First, we derive the nonlinear ordinary differential equation form by utilizing the complex wave transform. In the second stage, we employ a simplified version of the new extended auxiliary equation method to derive both bright and singular optical solitons. Subsequently, we examine the influence of model parameters on these bright and singular solitons in the third stage. To support our findings, we present solution functions accompanied by effective graphical simulations. We report observations regarding the effects of parameters in the relevant sections. The validity of our results is confirmed through their satisfaction of the model equation. Furthermore, we apply the Vakhitov-Kolokolov stability criterion to ensure the stability of the obtained bright soliton solution. Notably, the novelty of this paper lies in its application of a simplified version of the extended auxiliary equation approach to recover optical solitons. This study stands apart from previously published works that utilized various expansion approaches, yielding a distinct spectrum of results.

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Quiescent Optical Solitons with Kudryashov’s Generalized Quintuple-Power and Nonlocal Nonlinearity Having Nonlinear Chromatic Dispersion

Cited by 16 publications

References 28 publications

A Fresh Perspective on the Concatenation Model in Optical Fibers with Kerr Law of Self-Phase Modulation

A Fresh Perspective on the Concatenation Model in Optical Fibers with Kerr Law of Self-Phase Modulation

Quiescent optical solitons for Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures

Pure-Cubic Optical Solitons and Stability Analysis with Kerr Law Nonlinearity

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