Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques
The perturbed Gerdjikov–Ivanov equation has immersed applications and significance in photonic crystal fibers and fiber optics. Extracting soliton solutions of the proposed equation has always been a challenging task for researchers. In this article, soliton solutions of governing equation are forme...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/5936389 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850163556703535104 |
|---|---|
| author | Miguel Vivas-Cortez Maasoomah Sadaf Saima Arshed Kashif Rehan Ghazala Akram Komal Saeed |
| author_facet | Miguel Vivas-Cortez Maasoomah Sadaf Saima Arshed Kashif Rehan Ghazala Akram Komal Saeed |
| author_sort | Miguel Vivas-Cortez |
| collection | DOAJ |
| description | The perturbed Gerdjikov–Ivanov equation has immersed applications and significance in photonic crystal fibers and fiber optics. Extracting soliton solutions of the proposed equation has always been a challenging task for researchers. In this article, soliton solutions of governing equation are formed by using two very good and reliable analytical techniques, two variables G′/G,1/G expansion method and generalized projective Riccati equation method. These methods are well-known and widely employed. The constraint conditions for newly constructed solutions are also specified. Furthermore, the obtained solutions can be utilized in nonlinear physical situations. Surface plots of the solution functions are also given in this paper to highlight the physical significance. Fractional effects are also discussed through various line graphs. |
| format | Article |
| id | doaj-art-e96e7ee5ac244ee1b59019997f078f72 |
| institution | OA Journals |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e96e7ee5ac244ee1b59019997f078f722025-08-20T02:22:15ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/5936389Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating TechniquesMiguel Vivas-Cortez0Maasoomah Sadaf1Saima Arshed2Kashif Rehan3Ghazala Akram4Komal Saeed5Escuela de Ciencias Físicas y MatemáticasDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe perturbed Gerdjikov–Ivanov equation has immersed applications and significance in photonic crystal fibers and fiber optics. Extracting soliton solutions of the proposed equation has always been a challenging task for researchers. In this article, soliton solutions of governing equation are formed by using two very good and reliable analytical techniques, two variables G′/G,1/G expansion method and generalized projective Riccati equation method. These methods are well-known and widely employed. The constraint conditions for newly constructed solutions are also specified. Furthermore, the obtained solutions can be utilized in nonlinear physical situations. Surface plots of the solution functions are also given in this paper to highlight the physical significance. Fractional effects are also discussed through various line graphs.http://dx.doi.org/10.1155/2024/5936389 |
| spellingShingle | Miguel Vivas-Cortez Maasoomah Sadaf Saima Arshed Kashif Rehan Ghazala Akram Komal Saeed Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques Advances in Mathematical Physics |
| title | Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques |
| title_full | Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques |
| title_fullStr | Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques |
| title_full_unstemmed | Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques |
| title_short | Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques |
| title_sort | extraction of optical solitons for conformable perturbed gerdjikov ivanov equation via two integrating techniques |
| url | http://dx.doi.org/10.1155/2024/5936389 |
| work_keys_str_mv | AT miguelvivascortez extractionofopticalsolitonsforconformableperturbedgerdjikovivanovequationviatwointegratingtechniques AT maasoomahsadaf extractionofopticalsolitonsforconformableperturbedgerdjikovivanovequationviatwointegratingtechniques AT saimaarshed extractionofopticalsolitonsforconformableperturbedgerdjikovivanovequationviatwointegratingtechniques AT kashifrehan extractionofopticalsolitonsforconformableperturbedgerdjikovivanovequationviatwointegratingtechniques AT ghazalaakram extractionofopticalsolitonsforconformableperturbedgerdjikovivanovequationviatwointegratingtechniques AT komalsaeed extractionofopticalsolitonsforconformableperturbedgerdjikovivanovequationviatwointegratingtechniques |