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Stochastic optical soliton perturbations in optical metamaterial couplers with parabolic nonlocal nonlinearity and advanced dispersion analysis.

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Title: Stochastic optical soliton perturbations in optical metamaterial couplers with parabolic nonlocal nonlinearity and advanced dispersion analysis.
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: Journal of Nonlinear Optical Physics & Materials. Feb2026, Vol. 35 Issue 1, p1-37. 37p.
Subjects: Nonlinear Schrödinger equation, Optical dispersion, Nonlinear theories, Scientific method, Optical solitons, Random noise theory, Optical couplers, Nonlinear optical techniques
Abstract: This study delves into the perturbed stochastic nonlinear Schrödinger equation in an optical coupler for metamaterials, introducing a parabolic nonlocal law for refractive index nonlinearity, eighth-order dispersion, and multiplicative white noise. An enhanced version of Kudryashov's method, combined with the direct algebraic method, is utilized to examine stochastic effects in nonlinear optical systems. The findings reveal diverse solution types such as dark and singular solitons, Weierstrass and Jacobi doubly periodic solutions, and straddled solitons, showcasing the complex dynamics driven by nonlocal nonlinearity and higher-order dispersion under stochastic conditions. This pioneering work on the nonlinear Schrödinger equation with a parabolic nonlocal nonlinearity and eighth-order dispersion investigates the impact of random fluctuations on nonlinear dynamics, advancing our understanding of light propagation at higher frequencies. The study aims to inspire further research into the behavior of light in unique materials and the development of more efficient light-based devices, leveraging the insights gained to innovate advanced communication tools and other optical devices, highlighting the response of these materials to random disturbances. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Nonlinear Optical Physics & Materials 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 191842196
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PubTypeId: academicJournal
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  Data: Stochastic optical soliton perturbations in optical metamaterial couplers with parabolic nonlocal nonlinearity and advanced dispersion analysis.
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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="%22Journal+of+Nonlinear+Optical+Physics+%26+Materials%22">Journal of Nonlinear Optical Physics & Materials</searchLink>. Feb2026, Vol. 35 Issue 1, p1-37. 37p.
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  Data: <searchLink fieldCode="DE" term="%22Nonlinear+Schrödinger+equation%22">Nonlinear Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+dispersion%22">Optical dispersion</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories%22">Nonlinear theories</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+solitons%22">Optical solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Random+noise+theory%22">Random noise theory</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+couplers%22">Optical couplers</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+optical+techniques%22">Nonlinear optical techniques</searchLink>
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  Label: Abstract
  Group: Ab
  Data: This study delves into the perturbed stochastic nonlinear Schrödinger equation in an optical coupler for metamaterials, introducing a parabolic nonlocal law for refractive index nonlinearity, eighth-order dispersion, and multiplicative white noise. An enhanced version of Kudryashov's method, combined with the direct algebraic method, is utilized to examine stochastic effects in nonlinear optical systems. The findings reveal diverse solution types such as dark and singular solitons, Weierstrass and Jacobi doubly periodic solutions, and straddled solitons, showcasing the complex dynamics driven by nonlocal nonlinearity and higher-order dispersion under stochastic conditions. This pioneering work on the nonlinear Schrödinger equation with a parabolic nonlocal nonlinearity and eighth-order dispersion investigates the impact of random fluctuations on nonlinear dynamics, advancing our understanding of light propagation at higher frequencies. The study aims to inspire further research into the behavior of light in unique materials and the development of more efficient light-based devices, leveraging the insights gained to innovate advanced communication tools and other optical devices, highlighting the response of these materials to random disturbances. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Nonlinear Optical Physics & Materials 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/S0218863525500079
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      – Code: eng
        Text: English
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        PageCount: 37
        StartPage: 1
    Subjects:
      – SubjectFull: Nonlinear Schrödinger equation
        Type: general
      – SubjectFull: Optical dispersion
        Type: general
      – SubjectFull: Nonlinear theories
        Type: general
      – SubjectFull: Scientific method
        Type: general
      – SubjectFull: Optical solitons
        Type: general
      – SubjectFull: Random noise theory
        Type: general
      – SubjectFull: Optical couplers
        Type: general
      – SubjectFull: Nonlinear optical techniques
        Type: general
    Titles:
      – TitleFull: Stochastic optical soliton perturbations in optical metamaterial couplers with parabolic nonlocal nonlinearity and advanced dispersion analysis.
        Type: main
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            NameFull: Zayed, Elsayed M. E.
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            NameFull: El-Shater, Mona
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            NameFull: Murad, Muhammad Amin S.
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            NameFull: Secer, Aydin
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            NameFull: Ozisik, Muslum
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              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 02188635
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              Value: 35
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