Optical wave solutions of (2 + 1)-dimensional non-linear Schrödinger complex hyperbolic model with truncated M-fractional derivative by Rational sine-Gordon expansion method.
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| Title: | Optical wave solutions of (2 + 1)-dimensional non-linear Schrödinger complex hyperbolic model with truncated M-fractional derivative by Rational sine-Gordon expansion method. |
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| Authors: | Ray, S. Saha1 (AUTHOR) santanusaharay@yahoo.com, Jana, Rajkumar1 (AUTHOR) |
| Source: | Optical & Quantum Electronics. Jul2026, Vol. 58 Issue 7, p1-21. 21p. |
| Subjects: | Nonlinear Schrödinger equation, Optical solitons, Plasma physics, Modulational instability, Sine-Gordon equation, Schroedinger, Erwin, 1887-1961, Fractional calculus, Nonlinear waves |
| Abstract: | This paper investigates a truncated M-fractional (2+1)-dimensional nonlinear Schrödinger complex hyperbolic model that is used to represent different physical phenomena, including nonlinear wave propagation in optical fibers and plasma physics. We incorporate the Rational sine-Gordon expansion method to find new optical soliton solutions to the considered equation. We utilized this methodology for its effectiveness in solving nonlinear fractional partial differential equations. Using this effective method, multiple forms of soliton solutions, including bright-shape soliton, kink-type soliton, and dark soliton solutions, have been extracted from the governing equation. The resulting solutions are expressed using trigonometric and hyperbolic functions. All derived solutions are portrayed in 3D plots that showcase the physical dynamics of this model. To ensure the stability of the concerned model, we examine the modulation instability. The obtained solutions serve as guidance for the ongoing advancement of the relevant model. [ABSTRACT FROM AUTHOR] |
| Copyright of Optical & Quantum Electronics 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: 194776636 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Optical wave solutions of (2 + 1)-dimensional non-linear Schrödinger complex hyperbolic model with truncated M-fractional derivative by Rational sine-Gordon expansion method. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ray%2C+S%2E+Saha%22">Ray, S. Saha</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> santanusaharay@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Jana%2C+Rajkumar%22">Jana, Rajkumar</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Optical+%26+Quantum+Electronics%22">Optical & Quantum Electronics</searchLink>. Jul2026, Vol. 58 Issue 7, p1-21. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Nonlinear+Schrödinger+equation%22">Nonlinear Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+solitons%22">Optical solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Plasma+physics%22">Plasma physics</searchLink><br /><searchLink fieldCode="DE" term="%22Modulational+instability%22">Modulational instability</searchLink><br /><searchLink fieldCode="DE" term="%22Sine-Gordon+equation%22">Sine-Gordon equation</searchLink><br /><searchLink fieldCode="DE" term="%22Schroedinger%2C+Erwin%2C+1887-1961%22">Schroedinger, Erwin, 1887-1961</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+waves%22">Nonlinear waves</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper investigates a truncated M-fractional (2+1)-dimensional nonlinear Schrödinger complex hyperbolic model that is used to represent different physical phenomena, including nonlinear wave propagation in optical fibers and plasma physics. We incorporate the Rational sine-Gordon expansion method to find new optical soliton solutions to the considered equation. We utilized this methodology for its effectiveness in solving nonlinear fractional partial differential equations. Using this effective method, multiple forms of soliton solutions, including bright-shape soliton, kink-type soliton, and dark soliton solutions, have been extracted from the governing equation. The resulting solutions are expressed using trigonometric and hyperbolic functions. All derived solutions are portrayed in 3D plots that showcase the physical dynamics of this model. To ensure the stability of the concerned model, we examine the modulation instability. The obtained solutions serve as guidance for the ongoing advancement of the relevant model. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Optical & Quantum Electronics 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/s11082-026-08862-9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 1 Subjects: – SubjectFull: Nonlinear Schrödinger equation Type: general – SubjectFull: Optical solitons Type: general – SubjectFull: Plasma physics Type: general – SubjectFull: Modulational instability Type: general – SubjectFull: Sine-Gordon equation Type: general – SubjectFull: Schroedinger, Erwin, 1887-1961 Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Nonlinear waves Type: general Titles: – TitleFull: Optical wave solutions of (2 + 1)-dimensional non-linear Schrödinger complex hyperbolic model with truncated M-fractional derivative by Rational sine-Gordon expansion method. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ray, S. Saha – PersonEntity: Name: NameFull: Jana, Rajkumar IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 03068919 Numbering: – Type: volume Value: 58 – Type: issue Value: 7 Titles: – TitleFull: Optical & Quantum Electronics Type: main |
| ResultId | 1 |
