Quiescent optical solitons in (3+1)- dimensional nonlinear Schrödinger equation in magneto-optic waveguides with Kudryashov's and nonlocal laws nonlinearity having nonlinear chromatic dispersion and generalized temporal evolution.
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| Title: | Quiescent optical solitons in (3+1)- dimensional nonlinear Schrödinger equation in magneto-optic waveguides with Kudryashov's and nonlocal laws nonlinearity having nonlinear chromatic dispersion and generalized temporal evolution. |
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| Authors: | Zayed, Elsayed M. E.1 (AUTHOR) eme_zayed@yahoo.com, El-Shater, Mona1 (AUTHOR) mona_el.shater@yahoo.com, Rahman, Hanan M. Abdel2 (AUTHOR) hanan.abdelrhman@hti.edu.eg |
| Source: | Applied Physics A: Materials Science & Processing. Jul2026, Vol. 132 Issue 7, p1-17. 17p. |
| Abstract: | Quiescent optical solitons in a (3+1)-dimensional nonlinear Schrödinger equation governing magneto-optic waveguides are investigated in the presence of Kudryashovs nonlocal law nonlinearity, nonlinear chromatic dispersion, and generalized temporal evolution. By employing the Jacobi elliptic function expansion method and the extended auxiliary equation method, a wide class of exact analytical solutions is constructed. These solutions include bright, dark, singular, with solitary wave profiles recovered as limiting cases of the elliptic modulus. The influence of higher-order dispersion, nonlocal nonlinear response, and magneto-optic coupling on the amplitude, width, and stability of quiescent solitons is analyzed in detail. From the results we obtained, it was found that nonlinear chromatic dispersion and generalized time evolution have an effective role in controlling the localization and diffusion characteristics of solitons. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Physics A: Materials Science & Processing 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195464765 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Quiescent optical solitons in (3+1)- dimensional nonlinear Schrödinger equation in magneto-optic waveguides with Kudryashov's and nonlocal laws nonlinearity having nonlinear chromatic dispersion and generalized temporal evolution. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zayed%2C+Elsayed+M%2E+E%2E%22">Zayed, Elsayed M. E.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> eme_zayed@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22El-Shater%2C+Mona%22">El-Shater, Mona</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mona_el.shater@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Rahman%2C+Hanan+M%2E+Abdel%22">Rahman, Hanan M. Abdel</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> hanan.abdelrhman@hti.edu.eg</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Physics+A%3A+Materials+Science+%26+Processing%22">Applied Physics A: Materials Science & Processing</searchLink>. Jul2026, Vol. 132 Issue 7, p1-17. 17p. – Name: Abstract Label: Abstract Group: Ab Data: Quiescent optical solitons in a (3+1)-dimensional nonlinear Schrödinger equation governing magneto-optic waveguides are investigated in the presence of Kudryashovs nonlocal law nonlinearity, nonlinear chromatic dispersion, and generalized temporal evolution. By employing the Jacobi elliptic function expansion method and the extended auxiliary equation method, a wide class of exact analytical solutions is constructed. These solutions include bright, dark, singular, with solitary wave profiles recovered as limiting cases of the elliptic modulus. The influence of higher-order dispersion, nonlocal nonlinear response, and magneto-optic coupling on the amplitude, width, and stability of quiescent solitons is analyzed in detail. From the results we obtained, it was found that nonlinear chromatic dispersion and generalized time evolution have an effective role in controlling the localization and diffusion characteristics of solitons. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Physics A: Materials Science & Processing 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/s00339-026-09743-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1 Titles: – TitleFull: Quiescent optical solitons in (3+1)- dimensional nonlinear Schrödinger equation in magneto-optic waveguides with Kudryashov's and nonlocal laws nonlinearity having nonlinear chromatic dispersion and generalized temporal evolution. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zayed, Elsayed M. E. – PersonEntity: Name: NameFull: El-Shater, Mona – PersonEntity: Name: NameFull: Rahman, Hanan M. Abdel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 09478396 Numbering: – Type: volume Value: 132 – Type: issue Value: 7 Titles: – TitleFull: Applied Physics A: Materials Science & Processing Type: main |
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