Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations
Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn t...
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| Autor*in: |
Haque, Md. Morshedul [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
Improved Bernoulli sub-equation function technique |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Optical and quantum electronics - Springer US, 1975, 54(2022), 11 vom: 27. Sept. |
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| Übergeordnetes Werk: |
volume:54 ; year:2022 ; number:11 ; day:27 ; month:09 |
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| DOI / URN: |
10.1007/s11082-022-04145-1 |
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| 520 | |a Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. | ||
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| 700 | 1 | |a Osman, M. S. |4 aut | |
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10.1007/s11082-022-04145-1 doi (DE-627)OLC207962492X (DE-He213)s11082-022-04145-1-p DE-627 ger DE-627 rakwb eng 500 620 VZ Haque, Md. Morshedul verfasserin aut Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. Improved Bernoulli sub-equation function technique Fractional nonlinear Fokas–Lenells equation Paraxial Schrödinger equation Akbar, M. Ali aut Osman, M. S. aut Enthalten in Optical and quantum electronics Springer US, 1975 54(2022), 11 vom: 27. Sept. (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:54 year:2022 number:11 day:27 month:09 https://doi.org/10.1007/s11082-022-04145-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY AR 54 2022 11 27 09 |
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10.1007/s11082-022-04145-1 doi (DE-627)OLC207962492X (DE-He213)s11082-022-04145-1-p DE-627 ger DE-627 rakwb eng 500 620 VZ Haque, Md. Morshedul verfasserin aut Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. Improved Bernoulli sub-equation function technique Fractional nonlinear Fokas–Lenells equation Paraxial Schrödinger equation Akbar, M. Ali aut Osman, M. S. aut Enthalten in Optical and quantum electronics Springer US, 1975 54(2022), 11 vom: 27. Sept. (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:54 year:2022 number:11 day:27 month:09 https://doi.org/10.1007/s11082-022-04145-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY AR 54 2022 11 27 09 |
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10.1007/s11082-022-04145-1 doi (DE-627)OLC207962492X (DE-He213)s11082-022-04145-1-p DE-627 ger DE-627 rakwb eng 500 620 VZ Haque, Md. Morshedul verfasserin aut Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. Improved Bernoulli sub-equation function technique Fractional nonlinear Fokas–Lenells equation Paraxial Schrödinger equation Akbar, M. Ali aut Osman, M. S. aut Enthalten in Optical and quantum electronics Springer US, 1975 54(2022), 11 vom: 27. Sept. (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:54 year:2022 number:11 day:27 month:09 https://doi.org/10.1007/s11082-022-04145-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY AR 54 2022 11 27 09 |
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10.1007/s11082-022-04145-1 doi (DE-627)OLC207962492X (DE-He213)s11082-022-04145-1-p DE-627 ger DE-627 rakwb eng 500 620 VZ Haque, Md. Morshedul verfasserin aut Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. Improved Bernoulli sub-equation function technique Fractional nonlinear Fokas–Lenells equation Paraxial Schrödinger equation Akbar, M. Ali aut Osman, M. S. aut Enthalten in Optical and quantum electronics Springer US, 1975 54(2022), 11 vom: 27. Sept. (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:54 year:2022 number:11 day:27 month:09 https://doi.org/10.1007/s11082-022-04145-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY AR 54 2022 11 27 09 |
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10.1007/s11082-022-04145-1 doi (DE-627)OLC207962492X (DE-He213)s11082-022-04145-1-p DE-627 ger DE-627 rakwb eng 500 620 VZ Haque, Md. Morshedul verfasserin aut Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. Improved Bernoulli sub-equation function technique Fractional nonlinear Fokas–Lenells equation Paraxial Schrödinger equation Akbar, M. Ali aut Osman, M. S. aut Enthalten in Optical and quantum electronics Springer US, 1975 54(2022), 11 vom: 27. Sept. (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:54 year:2022 number:11 day:27 month:09 https://doi.org/10.1007/s11082-022-04145-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY AR 54 2022 11 27 09 |
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Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations |
| abstract |
Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations associated with beta derivative have significant applications. The fractional wave transformation has been used to turn the space–time fractional nonlinear equations into integer order equations. To obtain optical soliton solutions relating to exponential, trigonometric, and hyperbolic functions and their integration with free parameters, the improved Bernoulli sub-equation function (IBSEF) scheme has been exploited. Different shapes of solitons have been extracted from the attained solutions, including kink, periodic, bell-shaped, anti-kink, dark-bright soliton, single kink type soliton, etc. A kink soliton is an optical shock front that keeps its shape while traveling through optical fibers. The characteristics of the solitons have been studied by describing profiles in 3D, 2D, contour, and density plots. The results imply that the IBSEF technique is simple, efficient, and capable of generating comprehensive soliton solutions of nonlinear models related to telecommunication and optics. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations |
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https://doi.org/10.1007/s11082-022-04145-1 |
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Akbar, M. Ali Osman, M. S. |
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10.1007/s11082-022-04145-1 |
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