Interaction properties of double-hump solitons in the dispersion decreasing fiber

Zhu, Y.; Yang, Jing; Li, Jitao; Hu, Lingwei; Zhou, Qin

doi:10.1007/s11071-022-07491-7

Cited by 16 publications

(4 citation statements)

References 30 publications

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“…Consider a governing model [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]:…”

Section: The Integration Algorithms: a Rapid Recapitulationunclassified

Quiescent Optical Solitons for the Concatenation Model Having Nonlinear Chromatic Dispersion with Differential Group Delay

Arnous,

Biswas,

Yildirim

et al. 2023

Contemp. Math.

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This study recovers quiescent optical solitons within a complex concatenation model featuring nonlinear chromatic dispersion and differential group delay. It employs the sine-Gordon equation approach and the projective Riccati equation scheme. The results include the successful recovery of soliton solutions and the identification of parameter restrictions for their existence. The novelty lies in the application of these methods to this specific problem, offering valuable insights for optical communication system design.

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“…Consider a governing model [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]:…”

Section: The Integration Algorithms: a Rapid Recapitulationunclassified

Quiescent Optical Solitons for the Concatenation Model Having Nonlinear Chromatic Dispersion with Differential Group Delay

Arnous,

Biswas,

Yildirim

et al. 2023

Contemp. Math.

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“…The mathematical engineering of optical solitons has engulfed the field of nonlinear optics in full capacity. There are several mathematical approaches that yield soliton solutions, extract conservation laws followed by laying down the quasi-monochromatic dynamics of such solitons [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The hunt for these serendipity results in this field of research is always priceless.…”

Section: Introductionmentioning

confidence: 99%

Optical Solitons for the Dispersive Concatenation Model

Zayed,

Gepreel,

El-Horbaty

et al. 2023

Contemp. Math.

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The study undertakes a comprehensive exploration of optical solitons within the context of the dispersive concatenation model, utilizing three distinct integration algorithms. These approaches, namely the enhanced Kudryashov' s method, the Riccati equation expansion approach, and the Weierstrass' expansion scheme, offer distinct perspectives and insights into the behavior of optical solitons. By employing the enhanced Kudryashov' s approach, the research uncovers a spectrum of soliton solutions, including straddled, bright, and singular optical solitons. This algorithm not only provides a nuanced understanding of the various soliton types but also highlights the occurrence of singular solitons that exhibit unique characteristics. The Riccati equation expansion approach, on the other hand, yields dark solitons in addition to singular solitons. This particular method expands our comprehension of soliton behavior by encompassing the presence of dark solitons alongside singular ones. This diversification contributes to a more comprehensive grasp of soliton phenomena. Furthermore, the application of the Weierstrass' expansion scheme extends the analysis to encompass bright, singular, and other variations of straddled solitons. This method introduces further complexity and diversity to the optical soliton. Importantly, the study meticulously addresses the parameter constraints that govern the behavior of these solitons. By providing a comprehensive presentation of these constraints, the research enhances the practical applicability of the findings, offering insights into the conditions under which these soliton solutions emerge.

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“…[1]- [3]. As one of the typical nonlinear wave governing systems [4]- [6], the nonlinear Schrödinger (NLS) system and the localized states associated with it are exploited to explain nonlinear mechanism behind versatile practical problems in engineering [7]- [9].…”

Section: Introductionmentioning

confidence: 99%

Ring-like extreme wave of a (3+1)-dimensional partially nonlocal NLS system with the linear and parabolic potential

Li,

Zhu,

Yang

et al. 2023

Preprint

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This paper aims to study extreme waves localized in (3+1)-dimensional space based on a (3+1)-dimensional nonautonomous partially nonlocal NLS system under the parabolic potential, which is simplified into a (2+1)-dimensional autonomous equation via a converting formula. Based on solutions of autonomous NLS system, ring-like extreme wave approximate solution is found. Characteristics and evolution of ring-like extreme wave are explored in an exponential system. With the adding parameter q, along the z-axis, the increasing layers of ring-like extreme wave is q + 1. Moreover, for fixed parameter w, the parameter R decides the radius of first-order and second-order ring-like extreme waves. For fixed parameter R, the parameter w determines the thickness of first-order and second-order ring-like extreme waves.

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Interaction properties of double-hump solitons in the dispersion decreasing fiber

Cited by 16 publications

References 30 publications

Quiescent Optical Solitons for the Concatenation Model Having Nonlinear Chromatic Dispersion with Differential Group Delay

Quiescent Optical Solitons for the Concatenation Model Having Nonlinear Chromatic Dispersion with Differential Group Delay

Optical Solitons for the Dispersive Concatenation Model

Ring-like extreme wave of a (3+1)-dimensional partially nonlocal NLS system with the linear and parabolic potential

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