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Optical solitons in cubic–quartic form within birefringent fibers through the Schrödinger–Hirota equation addressing cubic–quintic nonlinearity.

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Title: Optical solitons in cubic–quartic form within birefringent fibers through the Schrödinger–Hirota equation addressing cubic–quintic nonlinearity.
Authors: Zayed, Elsayed M. E.1 (AUTHOR), Hashemi, Mir Sajjad2 (AUTHOR) hashemi_math396@yahoo.com, El-Shater, Mona1 (AUTHOR), Arnous, Ahmed H.3 (AUTHOR), Bayram, Mustafa4 (AUTHOR)
Source: Modern Physics Letters B. 7/30/2025, Vol. 39 Issue 21, p1-31. 31p.
Subjects: Optical solitons, Mathematical physics, Water waves, Optical fibers, Solitons, Quintic equations
Abstract: In this paper, we study the Schrödinger–Hirota equation in birefringent fibers incorporating cubic–quartic dispersion. The model studied comes with a cubic–quintic nonlinear structure. The governing model introduced in this study is novel and original, and the obtained solitons have not been reported before. The Schrödinger–Hirota equation is an important modified structure within the higher-order NLSE that garnered significant attention in the fields of mathematics and physics, especially in the context of the transmission of solitons in water waves and optical fibers. To investigate optical solitons for this model, three widely applied in various research studies are implemented for our governing model. These methods are the Unified Riccati expansion method, the addendum to Kudryashov's method, and the addendum to the modified Sub-ODE method. A variety of solutions have emerged with this governing model, including bright, dark, singular solitons and the hybrid of these solitons. Also, Jacobi and Weierstrass doubly periodic-type solutions are recovered, which, with selected parameters, these solutions give solitons. Furthermore, for more illustration of the obtained solutions, a detailed discussion with a graphical presentation is presented. [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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DbLabel: Engineering Source
An: 185260396
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  Data: Optical solitons in cubic–quartic form within birefringent fibers through the Schrödinger–Hirota equation addressing cubic–quintic nonlinearity.
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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="%22Hashemi%2C+Mir+Sajjad%22">Hashemi, Mir Sajjad</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> hashemi_math396@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22El-Shater%2C+Mona%22">El-Shater, Mona</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Arnous%2C+Ahmed+H%2E%22">Arnous, Ahmed H.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bayram%2C+Mustafa%22">Bayram, Mustafa</searchLink><relatesTo>4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+B%22">Modern Physics Letters B</searchLink>. 7/30/2025, Vol. 39 Issue 21, p1-31. 31p.
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  Data: <searchLink fieldCode="DE" term="%22Optical+solitons%22">Optical solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Water+waves%22">Water waves</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+fibers%22">Optical fibers</searchLink><br /><searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Quintic+equations%22">Quintic equations</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: In this paper, we study the Schrödinger–Hirota equation in birefringent fibers incorporating cubic–quartic dispersion. The model studied comes with a cubic–quintic nonlinear structure. The governing model introduced in this study is novel and original, and the obtained solitons have not been reported before. The Schrödinger–Hirota equation is an important modified structure within the higher-order NLSE that garnered significant attention in the fields of mathematics and physics, especially in the context of the transmission of solitons in water waves and optical fibers. To investigate optical solitons for this model, three widely applied in various research studies are implemented for our governing model. These methods are the Unified Riccati expansion method, the addendum to Kudryashov's method, and the addendum to the modified Sub-ODE method. A variety of solutions have emerged with this governing model, including bright, dark, singular solitons and the hybrid of these solitons. Also, Jacobi and Weierstrass doubly periodic-type solutions are recovered, which, with selected parameters, these solutions give solitons. Furthermore, for more illustration of the obtained solutions, a detailed discussion with a graphical presentation is presented. [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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        Value: 10.1142/S0217984925500745
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      – Code: eng
        Text: English
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        PageCount: 31
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      – SubjectFull: Optical solitons
        Type: general
      – SubjectFull: Mathematical physics
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      – SubjectFull: Water waves
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      – SubjectFull: Optical fibers
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      – SubjectFull: Solitons
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      – SubjectFull: Quintic equations
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      – TitleFull: Optical solitons in cubic–quartic form within birefringent fibers through the Schrödinger–Hirota equation addressing cubic–quintic nonlinearity.
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              M: 07
              Text: 7/30/2025
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