Highly dispersive gap solitons with the Kaup–Newell in fiber Bragg grating with white noise effects.

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Title: Highly dispersive gap solitons with the Kaup–Newell in fiber Bragg grating with white noise effects.
Authors: Zayed, Elsayed M. E.1 (AUTHOR), El-Shater, Mona1 (AUTHOR), Murad, Muhammad Amin S.2 (AUTHOR), Secer, Aydin3 (AUTHOR), Ozisik, Muslum4 (AUTHOR), Arnous, Ahmed H.5 (AUTHOR) ahmed.h.arnous@gmail.com
Source: Modern Physics Letters B. 9/20/2025, Vol. 39 Issue 26, p1-19. 19p.
Subjects: Optical solitons, Optical communications, Signal processing, Optical fibers, Nonlinear systems, Fiber Bragg gratings
Abstract: This study introduces an innovative examination of the stochastic Kaup–Newell equation within the realm of fiber Bragg grating, signifying a pioneering effort in this area. The study uses two main methods for integration: the ( G ′ G) -expansion method and the enhanced direct algebraic method to find different one-step solutions to the Kaup–Newell equation. The outcomes of this research are multifaceted, revealing an array of optical soliton solutions such as dark, singular, bell-shaped, kink-shaped, bright, and straddled solitons. These findings contribute a novel perspective on the behavior of optical solitons in fiber Bragg gratings, which are essential for optical communications and signal processing. Additionally, applying numerical schemes to these analytically obtained solutions offers a detailed visualization of their characteristics and behaviors, enhancing our understanding of their potential in practical scenarios. This work extends the range of soliton solution types for application and paves the way for subsequent explorations in the field of nonlinear optical systems. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Highly dispersive gap solitons with the Kaup–Newell in fiber Bragg grating with white noise effects.
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  Data: <searchLink fieldCode="AR" term="%22Zayed%2C+Elsayed+M%2E E%2E%22">Zayed, Elsayed M. E.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22El-Shater%2C+Mona%22">El-Shater, Mona</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Murad%2C+Muhammad+Amin+S%2E%22">Murad, Muhammad Amin S.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Secer%2C+Aydin%22">Secer, Aydin</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ozisik%2C+Muslum%22">Ozisik, Muslum</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Arnous%2C+Ahmed+H%2E%22">Arnous, Ahmed H.</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> ahmed.h.arnous@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+B%22">Modern Physics Letters B</searchLink>. 9/20/2025, Vol. 39 Issue 26, p1-19. 19p.
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  Data: <searchLink fieldCode="DE" term="%22Optical+solitons%22">Optical solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+communications%22">Optical communications</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+fibers%22">Optical fibers</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Fiber+Bragg+gratings%22">Fiber Bragg gratings</searchLink>
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  Data: This study introduces an innovative examination of the stochastic Kaup–Newell equation within the realm of fiber Bragg grating, signifying a pioneering effort in this area. The study uses two main methods for integration: the ( G ′ G) -expansion method and the enhanced direct algebraic method to find different one-step solutions to the Kaup–Newell equation. The outcomes of this research are multifaceted, revealing an array of optical soliton solutions such as dark, singular, bell-shaped, kink-shaped, bright, and straddled solitons. These findings contribute a novel perspective on the behavior of optical solitons in fiber Bragg gratings, which are essential for optical communications and signal processing. Additionally, applying numerical schemes to these analytically obtained solutions offers a detailed visualization of their characteristics and behaviors, enhancing our understanding of their potential in practical scenarios. This work extends the range of soliton solution types for application and paves the way for subsequent explorations in the field of nonlinear optical systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1142/S0217984925501295
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      – Code: eng
        Text: English
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        PageCount: 19
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    Subjects:
      – SubjectFull: Optical solitons
        Type: general
      – SubjectFull: Optical communications
        Type: general
      – SubjectFull: Signal processing
        Type: general
      – SubjectFull: Optical fibers
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      – SubjectFull: Nonlinear systems
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      – SubjectFull: Fiber Bragg gratings
        Type: general
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      – TitleFull: Highly dispersive gap solitons with the Kaup–Newell in fiber Bragg grating with white noise effects.
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            NameFull: Ozisik, Muslum
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              M: 09
              Text: 9/20/2025
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              Y: 2025
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