Effect of a new local derivative on space-time fractional nonlinear Schrödinger equation and its stability analysis
The study presented investigates the space-time fractional nonlinear Schrödinger equation, which is important in telecommunication industry, especially in optical fibers. The extended ( G ′ G 2 ) -expansion approach and the modified simple equation method are used to generate the soliton solutions o...
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| Veröffentlicht in: | Optical and quantum electronics 2023-09, Vol.55 (9), Article 834 |
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| container_title | Optical and quantum electronics |
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| creator | Akram, Ghazala Sadaf, Maasoomah Zainab, Iqra |
| description | The study presented investigates the space-time fractional nonlinear Schrödinger equation, which is important in telecommunication industry, especially in optical fibers. The extended
(
G
′
G
2
)
-expansion approach and the modified simple equation method are used to generate the soliton solutions of the model. A new local fractional derivative is implemented to investigate the fractional impacts on the model. Trigonometric, hyperbolic and rational functions with dark and periodic traveling tendencies are produced as results. Linear stability analysis is performed for the higher order nonlinear Schrödinger equation. Further, graphs are used to understand the fractional impacts of the local fractional derivative by assigning specific values to the fractional parameter. |
| doi_str_mv | 10.1007/s11082-023-05009-y |
| format | Article |
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(
G
′
G
2
)
-expansion approach and the modified simple equation method are used to generate the soliton solutions of the model. A new local fractional derivative is implemented to investigate the fractional impacts on the model. Trigonometric, hyperbolic and rational functions with dark and periodic traveling tendencies are produced as results. Linear stability analysis is performed for the higher order nonlinear Schrödinger equation. Further, graphs are used to understand the fractional impacts of the local fractional derivative by assigning specific values to the fractional parameter.</description><identifier>ISSN: 0306-8919</identifier><identifier>EISSN: 1572-817X</identifier><identifier>DOI: 10.1007/s11082-023-05009-y</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Characterization and Evaluation of Materials ; Computer Communication Networks ; Electrical Engineering ; Lasers ; Optical Devices ; Optical fibers ; Optics ; Photonics ; Physics ; Physics and Astronomy ; Rational functions ; Schrodinger equation ; Solitary waves ; Stability analysis</subject><ispartof>Optical and quantum electronics, 2023-09, Vol.55 (9), Article 834</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) 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.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-e78a77891af3afc97fdeb861033765c17f6a025702e8ff5a1a92862251e455fc3</citedby><cites>FETCH-LOGICAL-c319t-e78a77891af3afc97fdeb861033765c17f6a025702e8ff5a1a92862251e455fc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11082-023-05009-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11082-023-05009-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Akram, Ghazala</creatorcontrib><creatorcontrib>Sadaf, Maasoomah</creatorcontrib><creatorcontrib>Zainab, Iqra</creatorcontrib><title>Effect of a new local derivative on space-time fractional nonlinear Schrödinger equation and its stability analysis</title><title>Optical and quantum electronics</title><addtitle>Opt Quant Electron</addtitle><description>The study presented investigates the space-time fractional nonlinear Schrödinger equation, which is important in telecommunication industry, especially in optical fibers. The extended
(
G
′
G
2
)
-expansion approach and the modified simple equation method are used to generate the soliton solutions of the model. A new local fractional derivative is implemented to investigate the fractional impacts on the model. Trigonometric, hyperbolic and rational functions with dark and periodic traveling tendencies are produced as results. Linear stability analysis is performed for the higher order nonlinear Schrödinger equation. Further, graphs are used to understand the fractional impacts of the local fractional derivative by assigning specific values to the fractional parameter.</description><subject>Characterization and Evaluation of Materials</subject><subject>Computer Communication Networks</subject><subject>Electrical Engineering</subject><subject>Lasers</subject><subject>Optical Devices</subject><subject>Optical fibers</subject><subject>Optics</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Rational functions</subject><subject>Schrodinger equation</subject><subject>Solitary waves</subject><subject>Stability analysis</subject><issn>0306-8919</issn><issn>1572-817X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kMtKAzEUhoMoWC8v4CrgOnqSNJPMUkq9QMGFCu7CMU00ZTrTJqkyL-YL-GJOreDO1YHD9_-c8xFyxuGCA-jLzDkYwUBIBgqgZv0eGXGlBTNcP--TEUiomKl5fUiOcl4AQDVWMCJlGoJ3hXaBIm39B206hw2d-xTfscR3T7uW5hU6z0pcehoSuhK7dmDarm1i6zHRB_eWvj7nsX31ifr1BrcExXZOY8k0F3yJTSz9sMGmzzGfkIOATfanv_OYPF1PHye3bHZ_cze5mjEneV2Y1wa1Ho7GIDG4Woe5fzEVByl1pRzXoUIQSoPwJgSFHGthKiEU92OlgpPH5HzXu0rdeuNzsYtuk4YjshVGjsdGcl4PlNhRLnU5Jx_sKsUlpt5ysFu7dmfXDnbtj13bDyG5C-UB3v79V_1P6ht4Dn_e</recordid><startdate>20230901</startdate><enddate>20230901</enddate><creator>Akram, Ghazala</creator><creator>Sadaf, Maasoomah</creator><creator>Zainab, Iqra</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230901</creationdate><title>Effect of a new local derivative on space-time fractional nonlinear Schrödinger equation and its stability analysis</title><author>Akram, Ghazala ; Sadaf, Maasoomah ; Zainab, Iqra</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-e78a77891af3afc97fdeb861033765c17f6a025702e8ff5a1a92862251e455fc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Characterization and Evaluation of Materials</topic><topic>Computer Communication Networks</topic><topic>Electrical Engineering</topic><topic>Lasers</topic><topic>Optical Devices</topic><topic>Optical fibers</topic><topic>Optics</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Rational functions</topic><topic>Schrodinger equation</topic><topic>Solitary waves</topic><topic>Stability analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Akram, Ghazala</creatorcontrib><creatorcontrib>Sadaf, Maasoomah</creatorcontrib><creatorcontrib>Zainab, Iqra</creatorcontrib><collection>CrossRef</collection><jtitle>Optical and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Akram, Ghazala</au><au>Sadaf, Maasoomah</au><au>Zainab, Iqra</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effect of a new local derivative on space-time fractional nonlinear Schrödinger equation and its stability analysis</atitle><jtitle>Optical and quantum electronics</jtitle><stitle>Opt Quant Electron</stitle><date>2023-09-01</date><risdate>2023</risdate><volume>55</volume><issue>9</issue><artnum>834</artnum><issn>0306-8919</issn><eissn>1572-817X</eissn><abstract>The study presented investigates the space-time fractional nonlinear Schrödinger equation, which is important in telecommunication industry, especially in optical fibers. The extended
(
G
′
G
2
)
-expansion approach and the modified simple equation method are used to generate the soliton solutions of the model. A new local fractional derivative is implemented to investigate the fractional impacts on the model. Trigonometric, hyperbolic and rational functions with dark and periodic traveling tendencies are produced as results. Linear stability analysis is performed for the higher order nonlinear Schrödinger equation. Further, graphs are used to understand the fractional impacts of the local fractional derivative by assigning specific values to the fractional parameter.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11082-023-05009-y</doi></addata></record> |
| fulltext | fulltext |
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| language | eng |
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| source | SpringerLink (Online service) |
| subjects | Characterization and Evaluation of Materials Computer Communication Networks Electrical Engineering Lasers Optical Devices Optical fibers Optics Photonics Physics Physics and Astronomy Rational functions Schrodinger equation Solitary waves Stability analysis |
| title | Effect of a new local derivative on space-time fractional nonlinear Schrödinger equation and its stability analysis |
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