Solitonic wave structures and stability analysis for the coupled (2+1)-dimensional nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber.
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| Title: | Solitonic wave structures and stability analysis for the coupled (2+1)-dimensional nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber. |
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| Authors: | Mathanaranjan, Thilagarajah1 (AUTHOR) |
| Source: | Modern Physics Letters B. 7/30/2026, Vol. 40 Issue 21, p1-27. 27p. |
| Subjects: | Solitons, Modulational instability, Stability theory, Optical fibers, Optical solitons, Scientific method, Optical pulse generation |
| Abstract: | This study addresses the coupled (2 + 1) -dimensional nonlinear Schrödinger–Maxwell–Bloch (NLS–MB) system, which represents the optical pulse distribution in an erbium-doped fiber. The primary goal is to construct explicit soliton solutions and analyze their dynamical characteristics. Based on the ansatz method, its bright, dark and singular soliton solutions are constructed under some constraint conditions. In addition, by using the unified Riccati equation expansion method, the extended Kudryashov's method and the modified exp-function method, some other soliton solutions and periodic solutions are formally derived. The solutions obtained from the analytical approaches were systematically compared to highlight the relative efficiency of each method in addressing the nonlinear model and to validate the robustness of the derived results. Graphical analysis of obtained results is presented to get a better understanding of their dynamical behaviors. Further, the modulation instability is analyzed based on the standard linear stability analysis. The consequence of numerous incident powers on the instability gain spectrum is illustrated graphically. The novelty of this work lies in the combination of multiple analytical methods to uncover new solution types and in providing a comprehensive study of their stability and modulational characteristics, which enhances the understanding of pulse dynamics in nonlinear optical fibers. [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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194999957 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Solitonic wave structures and stability analysis for the coupled (2+1)-dimensional nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mathanaranjan%2C+Thilagarajah%22">Mathanaranjan, Thilagarajah</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+B%22">Modern Physics Letters B</searchLink>. 7/30/2026, Vol. 40 Issue 21, p1-27. 27p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Modulational+instability%22">Modulational instability</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+fibers%22">Optical fibers</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+solitons%22">Optical solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+pulse+generation%22">Optical pulse generation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This study addresses the coupled (2 + 1) -dimensional nonlinear Schrödinger–Maxwell–Bloch (NLS–MB) system, which represents the optical pulse distribution in an erbium-doped fiber. The primary goal is to construct explicit soliton solutions and analyze their dynamical characteristics. Based on the ansatz method, its bright, dark and singular soliton solutions are constructed under some constraint conditions. In addition, by using the unified Riccati equation expansion method, the extended Kudryashov's method and the modified exp-function method, some other soliton solutions and periodic solutions are formally derived. The solutions obtained from the analytical approaches were systematically compared to highlight the relative efficiency of each method in addressing the nonlinear model and to validate the robustness of the derived results. Graphical analysis of obtained results is presented to get a better understanding of their dynamical behaviors. Further, the modulation instability is analyzed based on the standard linear stability analysis. The consequence of numerous incident powers on the instability gain spectrum is illustrated graphically. The novelty of this work lies in the combination of multiple analytical methods to uncover new solution types and in providing a comprehensive study of their stability and modulational characteristics, which enhances the understanding of pulse dynamics in nonlinear optical fibers. [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: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217984926501605 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 27 StartPage: 1 Subjects: – SubjectFull: Solitons Type: general – SubjectFull: Modulational instability Type: general – SubjectFull: Stability theory Type: general – SubjectFull: Optical fibers Type: general – SubjectFull: Optical solitons Type: general – SubjectFull: Scientific method Type: general – SubjectFull: Optical pulse generation Type: general Titles: – TitleFull: Solitonic wave structures and stability analysis for the coupled (2+1)-dimensional nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mathanaranjan, Thilagarajah IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 07 Text: 7/30/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02179849 Numbering: – Type: volume Value: 40 – Type: issue Value: 21 Titles: – TitleFull: Modern Physics Letters B Type: main |
| ResultId | 1 |
