Pure-cubic optical solitons by Jacobi’s elliptic function approach

Al-Kalbani, Kaltham K.; Al-Ghafri, K. S.; Krishnan, E. V.; Biswas, Anjan

doi:10.1016/j.ijleo.2021.167404

Cited by 34 publications

(1 citation statement)

References 33 publications

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“…For instance, the NLSE with different forms of nonlinear influences or in the presence of higher-order dispersion has been investigated by many experts and scholars to observe soliton behaviors in optical fibers [20][21][22][23]. The detection of ultrashort pulses, as an example of soliton propagation in optical fiber, that have a significant impact on developing photonic and optoelectronic devices can be carried out through studying the generalized NLSE of third order [24,25]. There have been many studies conducted on the features and structures of optical solitons in fiber medium; see e.g., [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Optical Bullets and Their Modulational Instability Analysis

Al-Ghafri¹,

Krishnan

Khan

et al. 2022

Applied Sciences

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The current work is devoted to investigating the multidimensional solitons known as optical bullets in optical fiber media. The governing model is a (3+1)-dimensional nonlinear Schrödinger system (3D-NLSS). The study is based on deriving the traveling wave reduction from the 3D-NLSS that constructs an elliptic-like equation. The exact solutions of the latter equation are extracted with the aid of two analytic approaches, the projective Riccati equations and the Bernoulli differential equation. Upon applying both methods, a plethora of assorted solutions for the 3D-NLSS are created, which describe mixed optical solitons having the profiles of bright, dark, and singular solitons. Additionally, the employed techniques provide several kinds of periodic wave solutions. The physical structures of some of the derived solutions are depicted to interpret the nature of the medium characterized by the 3D-NLSS. In addition, the modulation instability of the discussed model is examined by making use of the linear stability analysis.

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Section: Introductionmentioning

confidence: 99%

Optical Bullets and Their Modulational Instability Analysis

Al-Ghafri¹,

Krishnan

Khan

et al. 2022

Applied Sciences

Self Cite

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On Stochastic Pure-Cubic Optical Soliton Solutions of Nonlinear Schrödinger Equation Having Power Law of Self-Phase Modulation

Secer,

Onder,

Esen

et al. 2024

Int J Theor Phys

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Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion

2021

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The main concentration of this article is to extract pure-cubic optical solitons in nonlinear optical fiber modeled by nonlinear Schrödinger equation (NLSE). The governing model is discussed the with the effect of third-order dispersion, Kerr law of nonlinearity and without chromatic dispersion. We extract the solutions in different forms like, Jacobi’s elliptic, hyperbolic, periodic, exponential function solutions including a class of solitary wave solutions such that bright, dark, singular, kink-shape, multiple-optical soliton, and mixed complex soliton solutions. Recently developed integration tools known as -model expansion method, generalized exponential rational function method (GERFM) and generalized Kudryashov method are applied to analyze the governing model. The studied model is also discussed by the concept of modulation instability (MI) analysis. The constraints conditions are explicitly presented for the resulting solutions and singular periodic wave solutions are recovered. Furthermore, for explaining the solutions in physical phenomena, the three dimensional, two dimensional, and their related contours graphs are plotted under the selection of appropriate parameters. The accomplished results show that the applied computational system is direct, productive, reliable and can be carried out in more complicated phenomena. The results show that the studied equation theoretically has extremely rich pure-cubic optical structures of nonlinear fiber relevance.

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Pure-cubic optical solitons by Jacobi’s elliptic function approach

Cited by 34 publications

References 33 publications

Optical Bullets and Their Modulational Instability Analysis

Optical Bullets and Their Modulational Instability Analysis

On Stochastic Pure-Cubic Optical Soliton Solutions of Nonlinear Schrödinger Equation Having Power Law of Self-Phase Modulation

Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion

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