Solitons collision and multi-peak solutions for a new (3+1)-dimensional NLSE describing pulse propagation in optical fibers
This template recoups one-soliton transformation, two and N-solitons interactions through Hirota bilinear method (HBM) for a new ( 3 + 1 ) -dimensional nonlinear Schrödinger equation (NLSE) in optical fibers. The contribution of this paper is to apply the Hirota’s derivatives, generate bilinear equa...
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| Veröffentlicht in: | Optical and quantum electronics 2023-05, Vol.55 (5), Article 467 |
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| creator | Seadawy, Aly R. Rizvi, Syed T. R. Ahmed, Sarfaraz |
| description | This template recoups one-soliton transformation, two and N-solitons interactions through Hirota bilinear method (HBM) for a new
(
3
+
1
)
-dimensional nonlinear Schrödinger equation (NLSE) in optical fibers. The contribution of this paper is to apply the Hirota’s derivatives, generate bilinear equations and use ansatz functions approach (AFA) for the governing model. In addition to this, we compute M-shape rational solitons and their interaction with kink waves, homoclinic breathers, kink cross rational solitons and periodic cross rational solitons for governing model by utilizing the symbolic computation with logarithmic transformation and AFA. Furthermore, the multi-wave solitons and interactional phenomena are found by applying three waves approach. We construct 3D profiles for our solutions by choosing appropriate values. |
| doi_str_mv | 10.1007/s11082-023-04743-7 |
| format | Article |
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(
3
+
1
)
-dimensional nonlinear Schrödinger equation (NLSE) in optical fibers. The contribution of this paper is to apply the Hirota’s derivatives, generate bilinear equations and use ansatz functions approach (AFA) for the governing model. In addition to this, we compute M-shape rational solitons and their interaction with kink waves, homoclinic breathers, kink cross rational solitons and periodic cross rational solitons for governing model by utilizing the symbolic computation with logarithmic transformation and AFA. Furthermore, the multi-wave solitons and interactional phenomena are found by applying three waves approach. We construct 3D profiles for our solutions by choosing appropriate values.</description><identifier>ISSN: 0306-8919</identifier><identifier>EISSN: 1572-817X</identifier><identifier>DOI: 10.1007/s11082-023-04743-7</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 ; Pulse propagation ; Schrodinger equation ; Solitary waves ; Transformations (mathematics)</subject><ispartof>Optical and quantum electronics, 2023-05, Vol.55 (5), Article 467</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-60fc093b817c6529ee69c8197e0c66ae7858833a0c78f0208fc48adf3bae88e93</citedby><cites>FETCH-LOGICAL-c319t-60fc093b817c6529ee69c8197e0c66ae7858833a0c78f0208fc48adf3bae88e93</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/s11082-023-04743-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11082-023-04743-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Seadawy, Aly R.</creatorcontrib><creatorcontrib>Rizvi, Syed T. R.</creatorcontrib><creatorcontrib>Ahmed, Sarfaraz</creatorcontrib><title>Solitons collision and multi-peak solutions for a new (3+1)-dimensional NLSE describing pulse propagation in optical fibers</title><title>Optical and quantum electronics</title><addtitle>Opt Quant Electron</addtitle><description>This template recoups one-soliton transformation, two and N-solitons interactions through Hirota bilinear method (HBM) for a new
(
3
+
1
)
-dimensional nonlinear Schrödinger equation (NLSE) in optical fibers. The contribution of this paper is to apply the Hirota’s derivatives, generate bilinear equations and use ansatz functions approach (AFA) for the governing model. In addition to this, we compute M-shape rational solitons and their interaction with kink waves, homoclinic breathers, kink cross rational solitons and periodic cross rational solitons for governing model by utilizing the symbolic computation with logarithmic transformation and AFA. Furthermore, the multi-wave solitons and interactional phenomena are found by applying three waves approach. We construct 3D profiles for our solutions by choosing appropriate values.</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>Pulse propagation</subject><subject>Schrodinger equation</subject><subject>Solitary waves</subject><subject>Transformations (mathematics)</subject><issn>0306-8919</issn><issn>1572-817X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAURYMoOI7-AVcBN4pEX5pOkyxlGD9g0MUouAtpmg4ZO01NWkT886aO4M7V25xzue8idErhigLw60gpiIxAxgjkPGeE76EJnfGMCMpf99EEGBRESCoP0VGMGwAo8hlM0NfKN673bcTGN42LzrdYtxXeDk3vSGf1G46-GXo3IrUPWOPWfuBzdkkvSOW2th0V3eDH5WqBKxtNcKVr17gbmmhxF3yn13rUsWux73pnEly70oZ4jA5qnaiT3ztFL7eL5_k9WT7dPcxvlsQwKntSQG1AsjJ9YopZJq0tpBFUcgumKLTlYiYEYxoMFzVkIGqTC13VrNRWCCvZFJ3tclOb98HGXm38EFLpqDIucy5SmEhUtqNM8DEGW6suuK0On4qCGkdWu5FVGln9jKx4kthOiglu1zb8Rf9jfQNaAYBQ</recordid><startdate>20230501</startdate><enddate>20230501</enddate><creator>Seadawy, Aly R.</creator><creator>Rizvi, Syed T. R.</creator><creator>Ahmed, Sarfaraz</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230501</creationdate><title>Solitons collision and multi-peak solutions for a new (3+1)-dimensional NLSE describing pulse propagation in optical fibers</title><author>Seadawy, Aly R. ; Rizvi, Syed T. R. ; Ahmed, Sarfaraz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-60fc093b817c6529ee69c8197e0c66ae7858833a0c78f0208fc48adf3bae88e93</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>Pulse propagation</topic><topic>Schrodinger equation</topic><topic>Solitary waves</topic><topic>Transformations (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Seadawy, Aly R.</creatorcontrib><creatorcontrib>Rizvi, Syed T. R.</creatorcontrib><creatorcontrib>Ahmed, Sarfaraz</creatorcontrib><collection>CrossRef</collection><jtitle>Optical and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Seadawy, Aly R.</au><au>Rizvi, Syed T. R.</au><au>Ahmed, Sarfaraz</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Solitons collision and multi-peak solutions for a new (3+1)-dimensional NLSE describing pulse propagation in optical fibers</atitle><jtitle>Optical and quantum electronics</jtitle><stitle>Opt Quant Electron</stitle><date>2023-05-01</date><risdate>2023</risdate><volume>55</volume><issue>5</issue><artnum>467</artnum><issn>0306-8919</issn><eissn>1572-817X</eissn><abstract>This template recoups one-soliton transformation, two and N-solitons interactions through Hirota bilinear method (HBM) for a new
(
3
+
1
)
-dimensional nonlinear Schrödinger equation (NLSE) in optical fibers. The contribution of this paper is to apply the Hirota’s derivatives, generate bilinear equations and use ansatz functions approach (AFA) for the governing model. In addition to this, we compute M-shape rational solitons and their interaction with kink waves, homoclinic breathers, kink cross rational solitons and periodic cross rational solitons for governing model by utilizing the symbolic computation with logarithmic transformation and AFA. Furthermore, the multi-wave solitons and interactional phenomena are found by applying three waves approach. We construct 3D profiles for our solutions by choosing appropriate values.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11082-023-04743-7</doi></addata></record> |
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| subjects | Characterization and Evaluation of Materials Computer Communication Networks Electrical Engineering Lasers Optical Devices Optical fibers Optics Photonics Physics Physics and Astronomy Pulse propagation Schrodinger equation Solitary waves Transformations (mathematics) |
| title | Solitons collision and multi-peak solutions for a new (3+1)-dimensional NLSE describing pulse propagation in optical fibers |
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