Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion
The main objective of this work is to study the accurate traveling wave behavior of the optical pulses described by the Schrödinger–Hirota equation taking into account the chromatic dispersion term. This study uses the extended-G′G2 and the exp(−ϕ(ϖ))-expansion methods to get the exact closed form w...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003553 |
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| author | Maasoomah Sadaf Saima Arshed Ghazala Akram Muhammad Abdaal Bin Iqbal Hijaz Ahmad Mohamed R. Ali |
| author_facet | Maasoomah Sadaf Saima Arshed Ghazala Akram Muhammad Abdaal Bin Iqbal Hijaz Ahmad Mohamed R. Ali |
| author_sort | Maasoomah Sadaf |
| collection | DOAJ |
| description | The main objective of this work is to study the accurate traveling wave behavior of the optical pulses described by the Schrödinger–Hirota equation taking into account the chromatic dispersion term. This study uses the extended-G′G2 and the exp(−ϕ(ϖ))-expansion methods to get the exact closed form wave solutions to the Schrödinger–Hirota problem. Nonlinearity with Kerr rule is used to analyze the aforementioned model, leading to some novel conclusions. A variety of dynamical wave patterns have been observed through graphical simulations of the retrieved solutions. The reported results may be helpful in further explanation in optical fibers, communication systems and nonlinear optics. |
| format | Article |
| id | doaj-art-d403594e97db4bb7926d0ff8fec59785 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-d403594e97db4bb7926d0ff8fec597852024-12-13T11:05:47ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112100969Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersionMaasoomah Sadaf0Saima Arshed1Ghazala Akram2Muhammad Abdaal Bin Iqbal3Hijaz Ahmad4Mohamed R. Ali5Department of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54590, Pakistan; Corresponding author.Department of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, 42351 Madinah, Saudi Arabia; Operational Research Centre in Healthcare, Near East University, Nicosia TRNC, 99138, Mersin 10, Turkey; Department of Technical Sciences, Western Caspian University, Baku 1001, AzerbaijanFaculty of Engineering, Benha National University, Obour Campus, Egypt; Basic Engineering Science Department, Benha Faculty of Engineering, Benha University, EgyptThe main objective of this work is to study the accurate traveling wave behavior of the optical pulses described by the Schrödinger–Hirota equation taking into account the chromatic dispersion term. This study uses the extended-G′G2 and the exp(−ϕ(ϖ))-expansion methods to get the exact closed form wave solutions to the Schrödinger–Hirota problem. Nonlinearity with Kerr rule is used to analyze the aforementioned model, leading to some novel conclusions. A variety of dynamical wave patterns have been observed through graphical simulations of the retrieved solutions. The reported results may be helpful in further explanation in optical fibers, communication systems and nonlinear optics.http://www.sciencedirect.com/science/article/pii/S2666818124003553Schrödinger–Hirota equationChromatic dispersionexp(−ϕ(ϖ)) expansion methodOptical solution |
| spellingShingle | Maasoomah Sadaf Saima Arshed Ghazala Akram Muhammad Abdaal Bin Iqbal Hijaz Ahmad Mohamed R. Ali Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion Partial Differential Equations in Applied Mathematics Schrödinger–Hirota equation Chromatic dispersion exp(−ϕ(ϖ)) expansion method Optical solution |
| title | Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion |
| title_full | Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion |
| title_fullStr | Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion |
| title_full_unstemmed | Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion |
| title_short | Simulations for the Schrödinger–Hirota equation arising in nonlinear optics in the presence of chromatic dispersion |
| title_sort | simulations for the schrodinger hirota equation arising in nonlinear optics in the presence of chromatic dispersion |
| topic | Schrödinger–Hirota equation Chromatic dispersion exp(−ϕ(ϖ)) expansion method Optical solution |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003553 |
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