Optical soliton solutions to the Fokas–Lenells model applying the φ6-model expansion approach
The φ 6 -model expansion approach is presented to achieve optical soliton solutions for the Fokas-Lenells model. We apply a variable relation to translate the model’s partial differential form into an ordinary differential form. Then Maple-18 software applies the abovementioned methods to the govern...
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| Veröffentlicht in: | Optical and quantum electronics 2023, Vol.55 (6) |
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| container_title | Optical and quantum electronics |
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| creator | Ullah, Mohammad Safi Seadawy, Aly R. Ali, M. Zulfikar Harun-Or-Roshid |
| description | The
φ
6
-model expansion approach is presented to achieve optical soliton solutions for the Fokas-Lenells model. We apply a variable relation to translate the model’s partial differential form into an ordinary differential form. Then Maple-18 software applies the abovementioned methods to the governing model. The combination of trigonometric, hyperbolic, and rational function solutions yields various novel dynamical optical solitons. These solutions can all be found with double periodic waves, W-shape periodic waves, and W-shape periodic waves with multiple waves in these solutions. Additionally, local breather waves and multiple bright-dark breather waves are retrieved. Graphical displays of the derived solutions’ many dynamic aspects are provided. According to the obtained results from this study, we can say that the adopted technique is effective, relaxing, suitable, and advantageous for solving various nonlinear problems. |
| doi_str_mv | 10.1007/s11082-023-04771-3 |
| format | Article |
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φ
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φ
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-model expansion approach is presented to achieve optical soliton solutions for the Fokas-Lenells model. We apply a variable relation to translate the model’s partial differential form into an ordinary differential form. Then Maple-18 software applies the abovementioned methods to the governing model. The combination of trigonometric, hyperbolic, and rational function solutions yields various novel dynamical optical solitons. These solutions can all be found with double periodic waves, W-shape periodic waves, and W-shape periodic waves with multiple waves in these solutions. Additionally, local breather waves and multiple bright-dark breather waves are retrieved. Graphical displays of the derived solutions’ many dynamic aspects are provided. According to the obtained results from this study, we can say that the adopted technique is effective, relaxing, suitable, and advantageous for solving various nonlinear problems.</description><subject>Breathers</subject><subject>Characterization and Evaluation of Materials</subject><subject>Computer Communication Networks</subject><subject>Electrical Engineering</subject><subject>Hyperbolic functions</subject><subject>Lasers</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Rational functions</subject><subject>Solitary waves</subject><issn>0306-8919</issn><issn>1572-817X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpFkMFKxDAQhoMouK6-gKeC5-gkaZPmKIurQmEve_AW0ybrdo1NbVrQmydfwAfzHXwS063g6Yfhm5mfD6FzApcEQFwFQiCnGCjDkApBMDtAM5IJinMiHg7RDBhwnEsij9FJCDsA4GkGM_S4avu60i4J3tW9b8Yc-to3Iel90m9tsvTPOvx8fBW2sc6F5MUb6xLdtu69bp72yPcnx9PYvrW6CXF9BDqvq-0pOtpoF-zZX87RenmzXtzhYnV7v7gucCtiaZZXsb8sK8MJ0JQarYVhjIOkGbOcEaiE5rwEkvFSEGpKU5lNaakVkqcyY3N0MZ2NX18HG3q180PXxI-KCplTyBjPI8UmKrRdLG-7f4qAGk2qyaSKJtXepGLsF7ZHaHk</recordid><startdate>2023</startdate><enddate>2023</enddate><creator>Ullah, Mohammad Safi</creator><creator>Seadawy, Aly R.</creator><creator>Ali, M. Zulfikar</creator><creator>Harun-Or-Roshid</creator><general>Springer US</general><general>Springer Nature B.V</general><scope/></search><sort><creationdate>2023</creationdate><title>Optical soliton solutions to the Fokas–Lenells model applying the φ6-model expansion approach</title><author>Ullah, Mohammad Safi ; Seadawy, Aly R. ; Ali, M. Zulfikar ; Harun-Or-Roshid</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p723-38c0829bcd610242daa7d33609253e6310c7a66b0156b712dbdcdfbe2e7964953</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Breathers</topic><topic>Characterization and Evaluation of Materials</topic><topic>Computer Communication Networks</topic><topic>Electrical Engineering</topic><topic>Hyperbolic functions</topic><topic>Lasers</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Rational functions</topic><topic>Solitary waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ullah, Mohammad Safi</creatorcontrib><creatorcontrib>Seadawy, Aly R.</creatorcontrib><creatorcontrib>Ali, M. Zulfikar</creatorcontrib><creatorcontrib>Harun-Or-Roshid</creatorcontrib><jtitle>Optical and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ullah, Mohammad Safi</au><au>Seadawy, Aly R.</au><au>Ali, M. Zulfikar</au><au>Harun-Or-Roshid</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optical soliton solutions to the Fokas–Lenells model applying the φ6-model expansion approach</atitle><jtitle>Optical and quantum electronics</jtitle><stitle>Opt Quant Electron</stitle><date>2023</date><risdate>2023</risdate><volume>55</volume><issue>6</issue><issn>0306-8919</issn><eissn>1572-817X</eissn><abstract>The
φ
6
-model expansion approach is presented to achieve optical soliton solutions for the Fokas-Lenells model. We apply a variable relation to translate the model’s partial differential form into an ordinary differential form. Then Maple-18 software applies the abovementioned methods to the governing model. The combination of trigonometric, hyperbolic, and rational function solutions yields various novel dynamical optical solitons. These solutions can all be found with double periodic waves, W-shape periodic waves, and W-shape periodic waves with multiple waves in these solutions. Additionally, local breather waves and multiple bright-dark breather waves are retrieved. Graphical displays of the derived solutions’ many dynamic aspects are provided. According to the obtained results from this study, we can say that the adopted technique is effective, relaxing, suitable, and advantageous for solving various nonlinear problems.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11082-023-04771-3</doi></addata></record> |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Breathers Characterization and Evaluation of Materials Computer Communication Networks Electrical Engineering Hyperbolic functions Lasers Optical Devices Optics Photonics Physics Physics and Astronomy Rational functions Solitary waves |
| title | Optical soliton solutions to the Fokas–Lenells model applying the φ6-model expansion approach |
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