Revealing the optical soliton solution of the fourth-order perturbed Schrödinger–Hirota equation using Kudryashov's law.
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| Title: | Revealing the optical soliton solution of the fourth-order perturbed Schrödinger–Hirota equation using Kudryashov's law. |
|---|---|
| Authors: | Esen, Handenur1 (AUTHOR), Secer, Aydin2 (AUTHOR), Ozisik, Muslum1 (AUTHOR), Bayram, Mustafa2 (AUTHOR) mustafabayram@biruni.edu.tr |
| Source: | Pramana: Journal of Physics. Jun2026, Vol. 100 Issue 2, p1-13. 13p. |
| Subjects: | Optical solitons, Modulational instability, Partial differential equations, Solitons, Nonlinear optics, Theory of wave motion, Scientific method |
| Abstract: | This manuscript focusses on the fourth-order perturbed Schrödinger–Hirota equation (SHE), which exhibits Kudryashov's law. Incorporating higher-order dispersion and nonlinearities through the inclusion of Kudryashov's law, the fourth-order perturbed Schrödinger–Hirota equation offers a more accurate model for wave propagation in systems like optical fibres and quantum theory. Utilising the F-expansion scheme, we reveal the analytical solutions for the presented equation. Additionally, a comprehensive examination of modulation instability is performed to assess the stability properties of these solutions, identifying specific parameter ranges where instabilities occur. Moreover, detailed 3D, contour and 2D graphical visualisations illustrate some of the derived solutions. As a result, we retrieve dark, bright and periodic soliton solutions. The combination of a higher-order nonlinear model, the inclusion of Kudryashov's law and the derivation of multiple types of solitons presents a novel approach that advances the understanding of soliton behaviour in more complex systems. Additionally, the 2D graphical representations take into account the impact of certain parameters. The results provide substantial support for the theoretical understanding of complex nonlinear systems and offer practical insights for experimental design and analysis in nonlinear optics and related fields. [ABSTRACT FROM AUTHOR] |
| Copyright of Pramana: Journal of Physics is the property of Springer Nature 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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| Header | DbId: egs DbLabel: Engineering Source An: 193389889 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Revealing the optical soliton solution of the fourth-order perturbed Schrödinger–Hirota equation using Kudryashov's law. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Esen%2C+Handenur%22">Esen, Handenur</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Secer%2C+Aydin%22">Secer, Aydin</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ozisik%2C+Muslum%22">Ozisik, Muslum</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bayram%2C+Mustafa%22">Bayram, Mustafa</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mustafabayram@biruni.edu.tr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Pramana%3A+Journal+of+Physics%22">Pramana: Journal of Physics</searchLink>. Jun2026, Vol. 100 Issue 2, p1-13. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Optical+solitons%22">Optical solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Modulational+instability%22">Modulational instability</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+optics%22">Nonlinear optics</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This manuscript focusses on the fourth-order perturbed Schrödinger–Hirota equation (SHE), which exhibits Kudryashov's law. Incorporating higher-order dispersion and nonlinearities through the inclusion of Kudryashov's law, the fourth-order perturbed Schrödinger–Hirota equation offers a more accurate model for wave propagation in systems like optical fibres and quantum theory. Utilising the F-expansion scheme, we reveal the analytical solutions for the presented equation. Additionally, a comprehensive examination of modulation instability is performed to assess the stability properties of these solutions, identifying specific parameter ranges where instabilities occur. Moreover, detailed 3D, contour and 2D graphical visualisations illustrate some of the derived solutions. As a result, we retrieve dark, bright and periodic soliton solutions. The combination of a higher-order nonlinear model, the inclusion of Kudryashov's law and the derivation of multiple types of solitons presents a novel approach that advances the understanding of soliton behaviour in more complex systems. Additionally, the 2D graphical representations take into account the impact of certain parameters. The results provide substantial support for the theoretical understanding of complex nonlinear systems and offer practical insights for experimental design and analysis in nonlinear optics and related fields. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Pramana: Journal of Physics is the property of Springer Nature 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: BibEntity: Identifiers: – Type: doi Value: 10.1007/s12043-025-03083-3 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1 Subjects: – SubjectFull: Optical solitons Type: general – SubjectFull: Modulational instability Type: general – SubjectFull: Partial differential equations Type: general – SubjectFull: Solitons Type: general – SubjectFull: Nonlinear optics Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Scientific method Type: general Titles: – TitleFull: Revealing the optical soliton solution of the fourth-order perturbed Schrödinger–Hirota equation using Kudryashov's law. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Esen, Handenur – PersonEntity: Name: NameFull: Secer, Aydin – PersonEntity: Name: NameFull: Ozisik, Muslum – PersonEntity: Name: NameFull: Bayram, Mustafa IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 03044289 Numbering: – Type: volume Value: 100 – Type: issue Value: 2 Titles: – TitleFull: Pramana: Journal of Physics Type: main |
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