Investigation of optical solitons in birefringent polarization preserving fibers with four-wave mixing effect

Younis, Muhammad; Bilal, Muhammad; Shafqat-Ur-Rehman,; Younas, Usman; Rizvi, Syed T. R.

doi:10.1142/s0217979220501131

Cited by 42 publications

(9 citation statements)

References 28 publications

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“…The physical behavior and importance of complex NLEEs can be described and interpreted using soliton theory. In order to explore the dynamics of complex NLEE, various effective and efficient techniques for extracting solitary wave solutions have been developed 7–24 …”

Section: Introductionmentioning

confidence: 99%

New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects

Raza

Hassan

Butt

et al. 2021

Math Methods in App Sciences

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This paper introduces the fractal Kraenkel–Manna–Merle (KMM) system, which explains nonlinear short wave propagation with zero conductivity for saturated ferromagnetic materials in an external field. Fractal models deal with the discontinuous geometry of physical problems. The semi‐inverse technique and the new auxiliary equation method (NAEM) are used to generate a variety of solutions. A collection of exact soliton solutions specifically bright, dark, singular‐shaped, and singular‐periodic are generated using constraint conditions. The fractal parameter impact on these solutions displayed through 2D, 3D, and contour plots taking appropriate parametric values. The arbitrary functions in the solutions are chosen as such unique functions to generate some novel soliton structures. The proposed methods are more straightforward, succinct, and accurate to extract solitons of numerous evolution equations in mathematical physics.

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Section: Introductionmentioning

confidence: 99%

New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects

Raza

Hassan

Butt

et al. 2021

Math Methods in App Sciences

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“…It is polarization of light that prompts bunch speed mismatch,which is at last liable for differential gathering delay and numerous other negative impacts and consequently the examination of optical soliton is one of the most intriguing and interesting zones of exploration in nonlinear optics. There are well known computational and powerful techniques to find the optical exact soliton solutions of the differential equations Seadawy et al 2019aSeadawy et al , 2020aYounis et al 2017Younis et al , 2020Donne et al 2020;Rehman et al 2019a;Iqbal et al 2019aIqbal et al , b, 2020Cheemaa et al 2019;Rizvi et al 2020;Lu et al 2019;Seadawy and Abdullah 2019).…”

Section: Introductionmentioning

confidence: 99%

Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

et al. 2021

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In this article, we are interested to discuss the exact optical soiltons and other solutions in birefringent fibers modeled by Radhakrishnan-Kundu-Lakshmanan equation in two component form for vector solitons. We extract the solutions in the form of hyperbolic, trigonometric and exponential functions including solitary wave solutions like multipleoptical soliton, mixed complex soliton solutions. The strategy that is used to explain the dynamics of soliton is known as generalized exponential rational function method. Moreover, singular periodic wave solutions are recovered and the constraint conditions for the existence of soliton solutions are also reported. Besides, the physical action of the solution attained are recorded in terms of 3D, 2D and contour plots for distinct parameters. The achieved outcomes show that the applied computational strategy is direct, efficient, concise and can be implemented in more complex phenomena with the assistant of symbolic computations. The primary benefit of this technique is to develop a significant relationships between NLPDEs and others simple NLODEs and we have succeeded in a single move to get and organize various types of new solutions. The obtained outcomes show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations

show abstract

“…It is polarization of light that prompts bunch speed mismatch,which is at last liable for differential gathering delay and numerous other negative impacts and consequently the examination of optical soliton is one of the most intriguing and interesting zones of exploration in nonlinear optics. There are well known computational and powerful techniques to find the optical exact soliton solutions of the differential equations [1][2][3][4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Optical solitons and other soluions for Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

Bilal¹,

Youins²,

Seadawy³

et al. 2021

Preprint

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In this article, we are interested to discuss the exact optical soiltons and other solutions in birefringent fibers modeled by Radhakrishnan-Kundu-Lakshmanan equation in two component form for vector solitons. We extract the solutions in the form of hyperbolic, trigonometric and exponential functions including solitary wave solutions like multiple-optical soliton, mixed complex soliton solutions. The strategy that is used to explain the dynamics of soliton is known as generalized exponential rational function method. Moreover, singular periodic wave solutions are recovered and the constraint conditions for the existence of soliton solutions are also reported. Besides, the physical action of the solution attained are recorded in terms of 3D, 2D and contour plots for distinct parameters. The achieved outcomes show that the applied computational strategy is direct, efficient, concise and can be implemented in more complex phenomena with the assistant of symbolic computations. The primary benefit of this technique is to develop a significant relationships between NLPDEs and others simple NLODEs and we have succeeded in a single move to get and organize various types of new solutions. The obtained outcomes show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations

show abstract

Investigation of optical solitons in birefringent polarization preserving fibers with four-wave mixing effect

Cited by 42 publications

References 28 publications

New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects

New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects

Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

Optical solitons and other soluions for Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

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